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.

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

Example Input: 3, 4, ['u', '5041', 'E', 'U', 'a', 'd']
Example Output: 0

Example Input: 8, 10, ['B', '8773', '6067', 'i', 'q', 'u', '4259', '7657', 'e', '961', 'A', '4247']
Example Output:
8618