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: 5, 10, ['7435', 'B', '7841', '5901', 'I', '6255', 'g', 'F', 'D', '1839', '3651', 'Q', '1629', 'T', '3423', 'y', '9597', '8453', '8541', 'a', '357', 'k', 'P']
Example Output: 8094

Example Input: 5, 6, ['937', '3595', '1279', '8705', '3587', '5879']
Example Output: 9466

Example Input: 2, 2, ['3333', '2769']
Example Output:
2769