Question: What population ranking is the Oklahoma city located south of a wilderness area spanning over 5000 acres?

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The Brothers Wilderness is a designated wilderness area located in the Olympic National Forest on the eastern side of the Olympic Peninsula south of Buckhorn Wilderness and north of Mount Skokomish Wilderness.  The wilderness area comprises 16337 acre administered by the U.S. Forest Service.  The wilderness is named after The Brothers peaks, which are the tallest in the wilderness area at 6866 ft .  The Duckabush River flows through the middle of the area.  The area lies in the rain shadow of the Olympic Mountains, receiving about 80 in of annual precipitation. The Darwin Falls Wilderness is the area adjacent to Darwin Falls, it has a unique location in the northern Mojave Desert, just west of Death Valley National Park.  The Darwin falls Wilderness is a part of the National Wilderness Preservation System rooted by the California Desert Protection Act (Public Law 103-433) and guided by the Bureau of Land Management.  The Darwin Falls Wilderness Area was founded on October 31, 1994 totaling up to 8,176 acres of land.  The Darwin Wilderness is made up of several distinct landmarks, including The Darwin Plateau, an area between The Inyo Mountains to the north, and the Coso Range to the south.  The wilderness area is also near the Darwin Hills, a mountain range in Inyo County and the Argus Range, west of the Panamint Range. The Alpine Lakes Wilderness is a large wilderness area spanning the Central Cascades of Washington state in the United States.  The wilderness is located in parts of Wenatchee National Forest and Snoqualmie National Forest, and is approximately bounded by Interstate 90 and Snoqualmie Pass to the south and U.S. Route 2 and Stevens Pass to the north.  The Alpine Lakes is the largest wilderness area near the population centers of Puget Sound, counted at 414,161 acre following the 2014 expansion. The Ventana Wilderness of Los Padres National Forest is a federally designated wilderness area located in the Santa Lucia Range along the Central Coast of California.  This wilderness was established in 1969 when the Ventana Wilderness Act redesignated the 55,800-acre (22,600 ha) Ventana Primitive Area as the Ventana Wilderness and added land, totalling 98,000-acre (40,000 ha).  In 1978, the Endangered American Wilderness Act added 61,000 acres (25,000 ha), increasing the total wilderness area to about 159,000 acres (64,000 ha).  The California Wilderness Act of 1984 added about 2,750 acres (1,113 ha).  In 1992, the Los Padres Condor Range and River Protection Act created the approximately 14,500-acre (5,900 ha) Silver Peak Wilderness and added about 38,800 acres (15,700 ha) to the Ventana Wilderness. The Bob Marshall Wilderness Complex consists of three wilderness areas, all within the U.S. state of Montana totalling over 1.5 million acres (6,100 km²).  The largest wilderness area is the Bob Marshall Wilderness Area consisting of 1 million acres (4000 km²).  Adjoining the Bob Marshall to the north is the Great Bear Wilderness of 286,700 acres (1,160 km²), and to the south of the Bob Marshall is the Scapegoat Wilderness consisting of 239,936 acres (971 km²).  An additional 1 million acres of roadless National Forest, private, and BLM land surrounds the designated wildernesses on all sides, for a total roadless area of 2.54 million acres. Eagle Cap Wilderness is a wilderness area located in the Wallowa Mountains of northeastern Oregon (United States), within the Wallowa–Whitman National Forest.  The wilderness was established in 1940.  In 1964, it was included in the National Wilderness Preservation System.  A boundary revision in 1972 added 73000 acre and the Wilderness Act of 1984 added 66100 acre resulting in a current total of 361446 acres , making Eagle Cap by far Oregon's largest wilderness area. The South Prince of Wales Wilderness is a wilderness area on Prince of Wales Island, Alaska, protecting 90,968 acres of undeveloped Pacific temperate rainforest, much of which is old-growth.  Managed by the United States Forest Service as part of the Tongass National Forest, the wilderness area was designated in a provision of the 1980 Alaska National Interest Lands Conservation Act.  This wilderness contains 75 or more islands that range from a few to over 500 acres in size.  The South Prince of Wales Wilderness sees tidal bores, tidal surges, fierce winds, and heavy storms regularly. The city of Lawton is the county seat of Comanche County, in the State of Oklahoma.  Located in southwestern Oklahoma, about 87 mi southwest of Oklahoma City, it is the principal city of the Lawton, Oklahoma Metropolitan Statistical Area.  According to the 2010 census, Lawton's population was 96,867, making it the fifth-largest city in the state. Apache Kid Wilderness is a 44626 acre Wilderness area located within the Magdalena Ranger District of the Cibola National Forest in the state of New Mexico.  Straddling a southern portion of the San Mateo Mountains of southwestern Socorro County, the area is characterized by rugged, narrow, and steep canyons bisecting high mountain peaks exceeding 10000 ft .  The Apache Kid Wilderness lies just south of the Withington Wilderness, which also straddles the San Mateo Mountains.  The Apache Kid is also surrounded by 84,527 total acres of Inventoried Roadless Area (IRA) with the San Jose IRA (16,957 acres) to the south and the Apache Kid Contiguous IRA (67,570 acres) to the north, east, and west.  Some 68 mi of trails provide access to the Apache Kid Wilderness.  The Wilderness was designated by Congress in 1980 and provides outstanding hiking, backpacking, star-gazing, hunting, and horseback-riding opportunities. The Charon's Garden Wilderness Area is part of the Wichita Mountains Wildlife Refuge in southwestern Oklahoma and is managed by the US Fish & Wildlife Service.  It is located to the west of Medicine Park, Oklahoma and north of Lawton, Oklahoma.  The wilderness area, dominated by rugged granite mountains, oak forests, and mixed grass prairies, covers 5723 acre in the western portion of the Refuge.  It is not unusual to run into deer, buffalo, elk, longhorn, and prairie dogs. Day use and limited backcountry camping is allowed with a permit from the Refuge.  The area is popular with rock climbers, with formations such as Echo Dome and Crab Eyes being popular destinations.

Supporting sentences:
The Charon's Garden Wilderness Area is part of the Wichita Mountains Wildlife Refuge in southwestern Oklahoma and is managed by the US Fish & Wildlife Service.  It is located to the west of Medicine Park, Oklahoma and north of Lawton, Oklahoma.  The wilderness area, dominated by rugged granite mountains, oak forests, and mixed grass prairies, covers 5723 acre in the western portion of the Refuge. The city of Lawton is the county seat of Comanche County, in the State of Oklahoma.  According to the 2010 census, Lawton's population was 96,867, making it the fifth-largest city in the state.