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Finding the Fourth Proportional to 9,540.80, 13,167.12 and 5,349.04

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Solution

The fourth proportional to 9,540.80, 13,167.12 and 5,349.04 is: 7,382.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,540.80 : 13,167.12 = 5,349.04 : x
  2. Step 2: Convert to fraction form
    9,540.80/13,167.12 = 5,349.04/x
  3. Step 3: Cross multiply
    9,540.80x = 13,167.12 × 5,349.04
  4. Step 4: Simplify right side
    9,540.80x = 70,431,451.56
  5. Step 5: Solve for x
    x = 70,431,451.56/9,540.80
  6. Step 6: Final answer
    x = 7,382.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.