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Finding the Fourth Proportional to 6,809.33, 9,397.13 and 4,121.42

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Solution

The fourth proportional to 6,809.33, 9,397.13 and 4,121.42 is: 5,687.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,809.33 : 9,397.13 = 4,121.42 : x
  2. Step 2: Convert to fraction form
    6,809.33/9,397.13 = 4,121.42/x
  3. Step 3: Cross multiply
    6,809.33x = 9,397.13 × 4,121.42
  4. Step 4: Simplify right side
    6,809.33x = 38,729,451.93
  5. Step 5: Solve for x
    x = 38,729,451.93/6,809.33
  6. Step 6: Final answer
    x = 5,687.71

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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.