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Finding the Fourth Proportional to 9,149.20, 13,701.90 and 5,805.82

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Solution

The fourth proportional to 9,149.20, 13,701.90 and 5,805.82 is: 8,694.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,149.20 : 13,701.90 = 5,805.82 : x
  2. Step 2: Convert to fraction form
    9,149.20/13,701.90 = 5,805.82/x
  3. Step 3: Cross multiply
    9,149.20x = 13,701.90 × 5,805.82
  4. Step 4: Simplify right side
    9,149.20x = 79,550,765.06
  5. Step 5: Solve for x
    x = 79,550,765.06/9,149.20
  6. Step 6: Final answer
    x = 8,694.83

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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.