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Finding the Fourth Proportional to 6,385.37, 9,572.87 and 2,872.80

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Solution

The fourth proportional to 6,385.37, 9,572.87 and 2,872.80 is: 4,306.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,385.37 : 9,572.87 = 2,872.80 : x
  2. Step 2: Convert to fraction form
    6,385.37/9,572.87 = 2,872.80/x
  3. Step 3: Cross multiply
    6,385.37x = 9,572.87 × 2,872.80
  4. Step 4: Simplify right side
    6,385.37x = 27,500,948.12
  5. Step 5: Solve for x
    x = 27,500,948.12/6,385.37
  6. Step 6: Final answer
    x = 4,306.87

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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.