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Finding the Fourth Proportional to 9,168.88, 13,743.24 and 6,002.48

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Solution

The fourth proportional to 9,168.88, 13,743.24 and 6,002.48 is: 8,997.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,168.88 : 13,743.24 = 6,002.48 : x
  2. Step 2: Convert to fraction form
    9,168.88/13,743.24 = 6,002.48/x
  3. Step 3: Cross multiply
    9,168.88x = 13,743.24 × 6,002.48
  4. Step 4: Simplify right side
    9,168.88x = 82,493,523.24
  5. Step 5: Solve for x
    x = 82,493,523.24/9,168.88
  6. Step 6: Final answer
    x = 8,997.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.