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Finding the Fourth Proportional to 6,337.72, 9,507.89 and 3,176.79

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Solution

The fourth proportional to 6,337.72, 9,507.89 and 3,176.79 is: 4,765.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,337.72 : 9,507.89 = 3,176.79 : x
  2. Step 2: Convert to fraction form
    6,337.72/9,507.89 = 3,176.79/x
  3. Step 3: Cross multiply
    6,337.72x = 9,507.89 × 3,176.79
  4. Step 4: Simplify right side
    6,337.72x = 30,204,569.87
  5. Step 5: Solve for x
    x = 30,204,569.87/6,337.72
  6. Step 6: Final answer
    x = 4,765.84

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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.