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Finding the Fourth Proportional to 6,001.62, 8,286.21 and 3,909.30

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Solution

The fourth proportional to 6,001.62, 8,286.21 and 3,909.30 is: 5,397.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,001.62 : 8,286.21 = 3,909.30 : x
  2. Step 2: Convert to fraction form
    6,001.62/8,286.21 = 3,909.30/x
  3. Step 3: Cross multiply
    6,001.62x = 8,286.21 × 3,909.30
  4. Step 4: Simplify right side
    6,001.62x = 32,393,280.75
  5. Step 5: Solve for x
    x = 32,393,280.75/6,001.62
  6. Step 6: Final answer
    x = 5,397.42

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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.