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Finding the Fourth Proportional to 6,472.56, 9,717.04 and 5,390.16

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Solution

The fourth proportional to 6,472.56, 9,717.04 and 5,390.16 is: 8,092.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,472.56 : 9,717.04 = 5,390.16 : x
  2. Step 2: Convert to fraction form
    6,472.56/9,717.04 = 5,390.16/x
  3. Step 3: Cross multiply
    6,472.56x = 9,717.04 × 5,390.16
  4. Step 4: Simplify right side
    6,472.56x = 52,376,400.33
  5. Step 5: Solve for x
    x = 52,376,400.33/6,472.56
  6. Step 6: Final answer
    x = 8,092.07

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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.