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Finding the Fourth Proportional to 9,600.48, 14,402.64 and 3,757.92

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Solution

The fourth proportional to 9,600.48, 14,402.64 and 3,757.92 is: 5,637.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,600.48 : 14,402.64 = 3,757.92 : x
  2. Step 2: Convert to fraction form
    9,600.48/14,402.64 = 3,757.92/x
  3. Step 3: Cross multiply
    9,600.48x = 14,402.64 × 3,757.92
  4. Step 4: Simplify right side
    9,600.48x = 54,123,968.91
  5. Step 5: Solve for x
    x = 54,123,968.91/9,600.48
  6. Step 6: Final answer
    x = 5,637.63

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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.