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Finding the Fourth Proportional to 6,520.92, 9,781.36 and 4,581.78

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Solution

The fourth proportional to 6,520.92, 9,781.36 and 4,581.78 is: 6,872.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,520.92 : 9,781.36 = 4,581.78 : x
  2. Step 2: Convert to fraction form
    6,520.92/9,781.36 = 4,581.78/x
  3. Step 3: Cross multiply
    6,520.92x = 9,781.36 × 4,581.78
  4. Step 4: Simplify right side
    6,520.92x = 44,815,991.49
  5. Step 5: Solve for x
    x = 44,815,991.49/6,520.92
  6. Step 6: Final answer
    x = 6,872.65

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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.