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Finding the Fourth Proportional to 6,408.89, 9,614.01 and 2,711.49

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Solution

The fourth proportional to 6,408.89, 9,614.01 and 2,711.49 is: 4,067.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,408.89 : 9,614.01 = 2,711.49 : x
  2. Step 2: Convert to fraction form
    6,408.89/9,614.01 = 2,711.49/x
  3. Step 3: Cross multiply
    6,408.89x = 9,614.01 × 2,711.49
  4. Step 4: Simplify right side
    6,408.89x = 26,068,284.12
  5. Step 5: Solve for x
    x = 26,068,284.12/6,408.89
  6. Step 6: Final answer
    x = 4,067.52

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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.