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Finding the Fourth Proportional to 9,469.52, 13,067.16 and 5,489.36

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Solution

The fourth proportional to 9,469.52, 13,067.16 and 5,489.36 is: 7,574.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,469.52 : 13,067.16 = 5,489.36 : x
  2. Step 2: Convert to fraction form
    9,469.52/13,067.16 = 5,489.36/x
  3. Step 3: Cross multiply
    9,469.52x = 13,067.16 × 5,489.36
  4. Step 4: Simplify right side
    9,469.52x = 71,730,345.42
  5. Step 5: Solve for x
    x = 71,730,345.42/9,469.52
  6. Step 6: Final answer
    x = 7,574.87

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