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Finding the Fourth Proportional to 9,127.52, 13,686.48 and 5,380.16

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Solution

The fourth proportional to 9,127.52, 13,686.48 and 5,380.16 is: 8,067.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,127.52 : 13,686.48 = 5,380.16 : x
  2. Step 2: Convert to fraction form
    9,127.52/13,686.48 = 5,380.16/x
  3. Step 3: Cross multiply
    9,127.52x = 13,686.48 × 5,380.16
  4. Step 4: Simplify right side
    9,127.52x = 73,635,452.24
  5. Step 5: Solve for x
    x = 73,635,452.24/9,127.52
  6. Step 6: Final answer
    x = 8,067.41

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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.