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: 3, 4, ['6203', 'g', '471', 'j', 'o', '9679', 'M', '5459', 'y', '1929', '1649', 'C']
Example Output: 471

Example Input: 1, 9, ['6869', '4103', 'S', 'k', '6745', 'n', 'x', '7657', 'F', 'd', '1953']
Example Output: 25374

Example Input: 3, 5, ['D', 'L', '2207', 'q', 'j', 'p', '1759']
Example Output:
2207