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Finding the Fourth Proportional to 9,836.76, 14,755 and 3,991.96

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Solution

The fourth proportional to 9,836.76, 14,755 and 3,991.96 is: 5,987.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,836.76 : 14,755 = 3,991.96 : x
  2. Step 2: Convert to fraction form
    9,836.76/14,755 = 3,991.96/x
  3. Step 3: Cross multiply
    9,836.76x = 14,755 × 3,991.96
  4. Step 4: Simplify right side
    9,836.76x = 58,901,369.80
  5. Step 5: Solve for x
    x = 58,901,369.80/9,836.76
  6. Step 6: Final answer
    x = 5,987.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.