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Finding the Fourth Proportional to 9,982.92, 13,781.94 and 6,005

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Solution

The fourth proportional to 9,982.92, 13,781.94 and 6,005 is: 8,290.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,982.92 : 13,781.94 = 6,005 : x
  2. Step 2: Convert to fraction form
    9,982.92/13,781.94 = 6,005/x
  3. Step 3: Cross multiply
    9,982.92x = 13,781.94 × 6,005
  4. Step 4: Simplify right side
    9,982.92x = 82,760,549.70
  5. Step 5: Solve for x
    x = 82,760,549.70/9,982.92
  6. Step 6: Final answer
    x = 8,290.21

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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.