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Finding the Fourth Proportional to 6,546.93, 9,821.61 and 2,167.44

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Solution

The fourth proportional to 6,546.93, 9,821.61 and 2,167.44 is: 3,251.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,546.93 : 9,821.61 = 2,167.44 : x
  2. Step 2: Convert to fraction form
    6,546.93/9,821.61 = 2,167.44/x
  3. Step 3: Cross multiply
    6,546.93x = 9,821.61 × 2,167.44
  4. Step 4: Simplify right side
    6,546.93x = 21,287,750.38
  5. Step 5: Solve for x
    x = 21,287,750.38/6,546.93
  6. Step 6: Final answer
    x = 3,251.56

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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.