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Finding the Fourth Proportional to 6,337.31, 9,505.97 and 4,224.47

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Solution

The fourth proportional to 6,337.31, 9,505.97 and 4,224.47 is: 6,336.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,337.31 : 9,505.97 = 4,224.47 : x
  2. Step 2: Convert to fraction form
    6,337.31/9,505.97 = 4,224.47/x
  3. Step 3: Cross multiply
    6,337.31x = 9,505.97 × 4,224.47
  4. Step 4: Simplify right side
    6,337.31x = 40,157,663.96
  5. Step 5: Solve for x
    x = 40,157,663.96/6,337.31
  6. Step 6: Final answer
    x = 6,336.71

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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.