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Finding the Fourth Proportional to 6,305.81, 9,456.39 and 2,747.49

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Solution

The fourth proportional to 6,305.81, 9,456.39 and 2,747.49 is: 4,120.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,305.81 : 9,456.39 = 2,747.49 : x
  2. Step 2: Convert to fraction form
    6,305.81/9,456.39 = 2,747.49/x
  3. Step 3: Cross multiply
    6,305.81x = 9,456.39 × 2,747.49
  4. Step 4: Simplify right side
    6,305.81x = 25,981,320.37
  5. Step 5: Solve for x
    x = 25,981,320.37/6,305.81
  6. Step 6: Final answer
    x = 4,120.22

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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.