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Finding the Fourth Proportional to 6,523.92, 9,787.60 and 1,843.94

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Solution

The fourth proportional to 6,523.92, 9,787.60 and 1,843.94 is: 2,766.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,523.92 : 9,787.60 = 1,843.94 : x
  2. Step 2: Convert to fraction form
    6,523.92/9,787.60 = 1,843.94/x
  3. Step 3: Cross multiply
    6,523.92x = 9,787.60 × 1,843.94
  4. Step 4: Simplify right side
    6,523.92x = 18,047,747.14
  5. Step 5: Solve for x
    x = 18,047,747.14/6,523.92
  6. Step 6: Final answer
    x = 2,766.40

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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.