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Finding the Fourth Proportional to 6,402.87, 9,608.65 and 3,930.14

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Solution

The fourth proportional to 6,402.87, 9,608.65 and 3,930.14 is: 5,897.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,402.87 : 9,608.65 = 3,930.14 : x
  2. Step 2: Convert to fraction form
    6,402.87/9,608.65 = 3,930.14/x
  3. Step 3: Cross multiply
    6,402.87x = 9,608.65 × 3,930.14
  4. Step 4: Simplify right side
    6,402.87x = 37,763,339.71
  5. Step 5: Solve for x
    x = 37,763,339.71/6,402.87
  6. Step 6: Final answer
    x = 5,897.88

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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.