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Finding the Fourth Proportional to 9,936.91, 13,711.38 and 5,687.00

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Solution

The fourth proportional to 9,936.91, 13,711.38 and 5,687.00 is: 7,847.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,936.91 : 13,711.38 = 5,687.00 : x
  2. Step 2: Convert to fraction form
    9,936.91/13,711.38 = 5,687.00/x
  3. Step 3: Cross multiply
    9,936.91x = 13,711.38 × 5,687.00
  4. Step 4: Simplify right side
    9,936.91x = 77,976,560.17
  5. Step 5: Solve for x
    x = 77,976,560.17/9,936.91
  6. Step 6: Final answer
    x = 7,847.16

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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.