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Finding the Fourth Proportional to 9,086.72, 12,540.12 and 5,549.36

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Solution

The fourth proportional to 9,086.72, 12,540.12 and 5,549.36 is: 7,658.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,086.72 : 12,540.12 = 5,549.36 : x
  2. Step 2: Convert to fraction form
    9,086.72/12,540.12 = 5,549.36/x
  3. Step 3: Cross multiply
    9,086.72x = 12,540.12 × 5,549.36
  4. Step 4: Simplify right side
    9,086.72x = 69,589,640.32
  5. Step 5: Solve for x
    x = 69,589,640.32/9,086.72
  6. Step 6: Final answer
    x = 7,658.39

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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.