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Finding the Fourth Proportional to 9,988.87, 13,781.58 and 5,796.31

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Solution

The fourth proportional to 9,988.87, 13,781.58 and 5,796.31 is: 7,997.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,988.87 : 13,781.58 = 5,796.31 : x
  2. Step 2: Convert to fraction form
    9,988.87/13,781.58 = 5,796.31/x
  3. Step 3: Cross multiply
    9,988.87x = 13,781.58 × 5,796.31
  4. Step 4: Simplify right side
    9,988.87x = 79,882,309.97
  5. Step 5: Solve for x
    x = 79,882,309.97/9,988.87
  6. Step 6: Final answer
    x = 7,997.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.