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Finding the Fourth Proportional to 6,503.38, 9,747.27 and 3,337.56

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Solution

The fourth proportional to 6,503.38, 9,747.27 and 3,337.56 is: 5,002.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,503.38 : 9,747.27 = 3,337.56 : x
  2. Step 2: Convert to fraction form
    6,503.38/9,747.27 = 3,337.56/x
  3. Step 3: Cross multiply
    6,503.38x = 9,747.27 × 3,337.56
  4. Step 4: Simplify right side
    6,503.38x = 32,532,098.46
  5. Step 5: Solve for x
    x = 32,532,098.46/6,503.38
  6. Step 6: Final answer
    x = 5,002.34

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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.