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Finding the Fourth Proportional to 9,936.38, 13,713.17 and 5,687.79

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Solution

The fourth proportional to 9,936.38, 13,713.17 and 5,687.79 is: 7,849.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,936.38 : 13,713.17 = 5,687.79 : x
  2. Step 2: Convert to fraction form
    9,936.38/13,713.17 = 5,687.79/x
  3. Step 3: Cross multiply
    9,936.38x = 13,713.17 × 5,687.79
  4. Step 4: Simplify right side
    9,936.38x = 77,997,715.03
  5. Step 5: Solve for x
    x = 77,997,715.03/9,936.38
  6. Step 6: Final answer
    x = 7,849.71

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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.