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Finding the Fourth Proportional to 9,249.28, 13,866 and 6,318.88

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Solution

The fourth proportional to 9,249.28, 13,866 and 6,318.88 is: 9,472.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,249.28 : 13,866 = 6,318.88 : x
  2. Step 2: Convert to fraction form
    9,249.28/13,866 = 6,318.88/x
  3. Step 3: Cross multiply
    9,249.28x = 13,866 × 6,318.88
  4. Step 4: Simplify right side
    9,249.28x = 87,617,590.08
  5. Step 5: Solve for x
    x = 87,617,590.08/9,249.28
  6. Step 6: Final answer
    x = 9,472.91

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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.