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, 9, ['9069', 'U', '6879', 'q', '8619', '5335', '8765', '7825', '9621', 'H', '9769', 'E', 'v', '1921']
Example Output: 40165

Example Input: 6, 9, ['7895', '3853', 's', '7', '1351', '5409', 'y', 'R', '329', 'l', 'v', '569', '8461', 'O', 'p', '2845']
Example Output: 5738

Example Input: 3, 7, ['4187', 'b', 'Y', '4555', 'L', 'A', '419', 'D', '6617', 'E', 'u', '3157', '7843', '1237']
Example Output:
4974