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: 2, 3, ['E', '7611', '2621', '3237']
Example Output: 10232

Example Input: 4, 7, ['3291', 'e', 'm', 'E', 'e', '3201', 'E', 'c', '2355', '6491']
Example Output: 3201

Example Input: 6, 9, ['1389', 'd', '9193', '1315', '8523', '5621', '8575', '611', 'H', '877', '5419', 'W', '7415', '2875', 'b', 'M', '111', '9095', 'S', '9189', 'A', 'd', '8349']
Example Output:
14807