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Finding the Fourth Proportional to 6,572.49, 9,861.81 and 2,874.24

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Solution

The fourth proportional to 6,572.49, 9,861.81 and 2,874.24 is: 4,312.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,572.49 : 9,861.81 = 2,874.24 : x
  2. Step 2: Convert to fraction form
    6,572.49/9,861.81 = 2,874.24/x
  3. Step 3: Cross multiply
    6,572.49x = 9,861.81 × 2,874.24
  4. Step 4: Simplify right side
    6,572.49x = 28,345,214.16
  5. Step 5: Solve for x
    x = 28,345,214.16/6,572.49
  6. Step 6: Final answer
    x = 4,312.70

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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.