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, ['8515', '4987', '7905', 'K', 'u', '2791', 'o', '8955', 'j', 'x', 'e', 'Z', '6231', '4913', '7933', '4079', '2945', '475', '6415', 'V', '8767', 't', 'c', '919', 'M', '5501', 'y', 'S', 'L', 'Q']
Example Output: 0

Example Input: 7, 12, ['273', 'h', '2433', '7155', '731', '5459', 'q', 'G', 'i', 'l', '3981', 'W', 'V', '4999', '8191', 'K', '8393', '9255']
Example Output: 3981

Example Input: 5, 12, ['Z', '6417', '7143', '8897', 'D', '443', 'M', 'z', '4143', '6567', 'F', '2511', '7757', 'T', 'p', 'b', 'G', '8875', '3667', '3871', 'P', '4399']
Example Output:
13664