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Finding the Fourth Proportional to 6,740.28, 9,306.09 and 4,089.15

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Solution

The fourth proportional to 6,740.28, 9,306.09 and 4,089.15 is: 5,645.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,740.28 : 9,306.09 = 4,089.15 : x
  2. Step 2: Convert to fraction form
    6,740.28/9,306.09 = 4,089.15/x
  3. Step 3: Cross multiply
    6,740.28x = 9,306.09 × 4,089.15
  4. Step 4: Simplify right side
    6,740.28x = 38,053,997.92
  5. Step 5: Solve for x
    x = 38,053,997.92/6,740.28
  6. Step 6: Final answer
    x = 5,645.76

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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.