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Finding the Fourth Proportional to 6,906.20, 9,581.14 and 6,614.60

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Solution

The fourth proportional to 6,906.20, 9,581.14 and 6,614.60 is: 9,176.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,906.20 : 9,581.14 = 6,614.60 : x
  2. Step 2: Convert to fraction form
    6,906.20/9,581.14 = 6,614.60/x
  3. Step 3: Cross multiply
    6,906.20x = 9,581.14 × 6,614.60
  4. Step 4: Simplify right side
    6,906.20x = 63,375,408.64
  5. Step 5: Solve for x
    x = 63,375,408.64/6,906.20
  6. Step 6: Final answer
    x = 9,176.60

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.