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Finding the Fourth Proportional to 6,737.92, 10,092.48 and 6,282.24

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Solution

The fourth proportional to 6,737.92, 10,092.48 and 6,282.24 is: 9,409.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,737.92 : 10,092.48 = 6,282.24 : x
  2. Step 2: Convert to fraction form
    6,737.92/10,092.48 = 6,282.24/x
  3. Step 3: Cross multiply
    6,737.92x = 10,092.48 × 6,282.24
  4. Step 4: Simplify right side
    6,737.92x = 63,403,381.56
  5. Step 5: Solve for x
    x = 63,403,381.56/6,737.92
  6. Step 6: Final answer
    x = 9,409.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.