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: 1, 2, ['j', '3613']
Example Output: 3613

Example Input: 10, 12, ['465', 'V', '3045', 'M', 'Z', '4053', '9621', '6909', '3161', 'M', '6675', '2313', 'v', 'g', 'a', 'x', '9347', 'd', 'x', '4309', '7231', '9745', 'F', '8863', '4667', '2089', 'x']
Example Output: 8988

Example Input: 6, 7, ['6947', 'l', 'd', '6531', 'X', 'l', '9741', '6553', '9905', 'n', 'Q', 'Y', '2063']
Example Output:
9741