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Finding the Fourth Proportional to 7,035.92, 9,709.72 and 3,892.24

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Solution

The fourth proportional to 7,035.92, 9,709.72 and 3,892.24 is: 5,371.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,035.92 : 9,709.72 = 3,892.24 : x
  2. Step 2: Convert to fraction form
    7,035.92/9,709.72 = 3,892.24/x
  3. Step 3: Cross multiply
    7,035.92x = 9,709.72 × 3,892.24
  4. Step 4: Simplify right side
    7,035.92x = 37,792,560.57
  5. Step 5: Solve for x
    x = 37,792,560.57/7,035.92
  6. Step 6: Final answer
    x = 5,371.37

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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.