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.

8, 9, ['1329', '3107', 's', 'z', '2013', '1633', 'i', '1229', '4201', 'M', '3127']
5430

6, 9, ['J', '5177', 'm', '7413', 'T', 'N', '5153', 'S', '8145']
13298

1, 2, ['653', '9223', '2103']

9876