In this task, you are given inputs i,j, and A, where i and j are integers and A is a list. You need to return the sum of all the numerical elements in the list A between the positions i and j (including positions i and j). Return 0 if no numerical element is present in the list between the given ranges. i and j will be non-negative, and will always have a value less than the length of A. i will always be less than j.

4, 9, ['9557', '1661', 'E', '5173', 'o', '4963', '2811', '5471', '3853']
22271

3, 22, ['k', '427', 'x', '9695', 'a', '2243', '329', 'F', 'n', '6253', '4873', 'f', 'z', 'R', 'b', '4351', 'b', 'i', 'g', '6937', 'I', 'k', 'f']
34681

1, 2, ['4989', '4925']

9914