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Finding the Fourth Proportional to 6,834.87, 9,432.14 and 3,964.15

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Solution

The fourth proportional to 6,834.87, 9,432.14 and 3,964.15 is: 5,470.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,834.87 : 9,432.14 = 3,964.15 : x
  2. Step 2: Convert to fraction form
    6,834.87/9,432.14 = 3,964.15/x
  3. Step 3: Cross multiply
    6,834.87x = 9,432.14 × 3,964.15
  4. Step 4: Simplify right side
    6,834.87x = 37,390,397.96
  5. Step 5: Solve for x
    x = 37,390,397.96/6,834.87
  6. Step 6: Final answer
    x = 5,470.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.