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Finding the Fourth Proportional to 6,546.33, 9,815.85 and 2,327.49

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Solution

The fourth proportional to 6,546.33, 9,815.85 and 2,327.49 is: 3,489.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,546.33 : 9,815.85 = 2,327.49 : x
  2. Step 2: Convert to fraction form
    6,546.33/9,815.85 = 2,327.49/x
  3. Step 3: Cross multiply
    6,546.33x = 9,815.85 × 2,327.49
  4. Step 4: Simplify right side
    6,546.33x = 22,846,292.72
  5. Step 5: Solve for x
    x = 22,846,292.72/6,546.33
  6. Step 6: Final answer
    x = 3,489.94

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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.