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: 9, 12, ['6001', '6723', '1813', 'S', '3331', 'T', '297', '8105', '7529', 'f', '1459', '323', '8077', 'N', 'W', 'G', 's', 'z', '7559', 't', 'F', 'h', '3771', '975']
Example Output: 9311

Example Input: 10, 27, ['Y', 'Q', 'o', '9581', '2725', 'd', '8857', '1477', '2451', '8595', 'I', 'I', '4883', '3781', 'E', '9539', 'k', '1245', '6741', '2051', 'l', '5245', 'e', '6949', '4361', 'U', 'I', 'J', '7867', '991']
Example Output: 53390

Example Input: 8, 13, ['8659', '3713', 'n', 'y', 'a', '3611', '2047', 'R', 'y', '9753', 'q', '5733', 'y']
Example Output:
15486