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Finding the Fourth Proportional to 6,076.92, 9,115.38 and 2,182.44

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Solution

The fourth proportional to 6,076.92, 9,115.38 and 2,182.44 is: 3,273.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,076.92 : 9,115.38 = 2,182.44 : x
  2. Step 2: Convert to fraction form
    6,076.92/9,115.38 = 2,182.44/x
  3. Step 3: Cross multiply
    6,076.92x = 9,115.38 × 2,182.44
  4. Step 4: Simplify right side
    6,076.92x = 19,893,769.93
  5. Step 5: Solve for x
    x = 19,893,769.93/6,076.92
  6. Step 6: Final answer
    x = 3,273.66

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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.