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Finding the Fourth Proportional to 9,229.92, 13,849.20 and 4,302.96

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Solution

The fourth proportional to 9,229.92, 13,849.20 and 4,302.96 is: 6,456.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,229.92 : 13,849.20 = 4,302.96 : x
  2. Step 2: Convert to fraction form
    9,229.92/13,849.20 = 4,302.96/x
  3. Step 3: Cross multiply
    9,229.92x = 13,849.20 × 4,302.96
  4. Step 4: Simplify right side
    9,229.92x = 59,592,553.63
  5. Step 5: Solve for x
    x = 59,592,553.63/9,229.92
  6. Step 6: Final answer
    x = 6,456.45

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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.