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Finding the Fourth Proportional to 9,689.20, 14,540.17 and 5,309.73

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Solution

The fourth proportional to 9,689.20, 14,540.17 and 5,309.73 is: 7,968.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,689.20 : 14,540.17 = 5,309.73 : x
  2. Step 2: Convert to fraction form
    9,689.20/14,540.17 = 5,309.73/x
  3. Step 3: Cross multiply
    9,689.20x = 14,540.17 × 5,309.73
  4. Step 4: Simplify right side
    9,689.20x = 77,204,376.85
  5. Step 5: Solve for x
    x = 77,204,376.85/9,689.20
  6. Step 6: Final answer
    x = 7,968.09

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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.