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Finding the Fourth Proportional to 9,249.38, 12,754.11 and 5,887.90

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Solution

The fourth proportional to 9,249.38, 12,754.11 and 5,887.90 is: 8,118.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,249.38 : 12,754.11 = 5,887.90 : x
  2. Step 2: Convert to fraction form
    9,249.38/12,754.11 = 5,887.90/x
  3. Step 3: Cross multiply
    9,249.38x = 12,754.11 × 5,887.90
  4. Step 4: Simplify right side
    9,249.38x = 75,094,860.50
  5. Step 5: Solve for x
    x = 75,094,860.50/9,249.38
  6. Step 6: Final answer
    x = 8,118.91

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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.