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Finding the Fourth Proportional to 9,540.63, 14,306.51 and 5,593.10

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Solution

The fourth proportional to 9,540.63, 14,306.51 and 5,593.10 is: 8,387.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,540.63 : 14,306.51 = 5,593.10 : x
  2. Step 2: Convert to fraction form
    9,540.63/14,306.51 = 5,593.10/x
  3. Step 3: Cross multiply
    9,540.63x = 14,306.51 × 5,593.10
  4. Step 4: Simplify right side
    9,540.63x = 80,017,705.72
  5. Step 5: Solve for x
    x = 80,017,705.72/9,540.63
  6. Step 6: Final answer
    x = 8,387.04

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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.