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Finding the Fourth Proportional to 9,096.43, 13,644.92 and 3,549.55

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Solution

The fourth proportional to 9,096.43, 13,644.92 and 3,549.55 is: 5,324.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,096.43 : 13,644.92 = 3,549.55 : x
  2. Step 2: Convert to fraction form
    9,096.43/13,644.92 = 3,549.55/x
  3. Step 3: Cross multiply
    9,096.43x = 13,644.92 × 3,549.55
  4. Step 4: Simplify right side
    9,096.43x = 48,433,325.79
  5. Step 5: Solve for x
    x = 48,433,325.79/9,096.43
  6. Step 6: Final answer
    x = 5,324.43

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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.