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: 7, 9, ['6409', '7805', '2757', 'A', '8949', '449', 'N', 'M', '9511', 'v', '6085', '1101', '4995', 'B', '6039', '295', '5459', '4211', 't', '3415']
Example Output: 9511

Example Input: 2, 17, ['J', '505', '9301', '6263', 'W', '901', '1441', '595', '7877', '4597', '409', 'j', 'Y', 'P', '4737', 'f', 'H', 'u', 'B', 'V', '6661', 'e']
Example Output: 36626

Example Input: 9, 10, ['1589', 'R', '8845', '697', 'U', 'f', '4521', '6641', 'D', '6427', '3113']
Example Output:
6427