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Finding the Fourth Proportional to 6,896.93, 9,517.71 and 3,753.11

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Solution

The fourth proportional to 6,896.93, 9,517.71 and 3,753.11 is: 5,179.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,896.93 : 9,517.71 = 3,753.11 : x
  2. Step 2: Convert to fraction form
    6,896.93/9,517.71 = 3,753.11/x
  3. Step 3: Cross multiply
    6,896.93x = 9,517.71 × 3,753.11
  4. Step 4: Simplify right side
    6,896.93x = 35,721,012.58
  5. Step 5: Solve for x
    x = 35,721,012.58/6,896.93
  6. Step 6: Final answer
    x = 5,179.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.