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Finding the Fourth Proportional to 6,517.67, 9,779.13 and 2,622.38

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Solution

The fourth proportional to 6,517.67, 9,779.13 and 2,622.38 is: 3,934.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,517.67 : 9,779.13 = 2,622.38 : x
  2. Step 2: Convert to fraction form
    6,517.67/9,779.13 = 2,622.38/x
  3. Step 3: Cross multiply
    6,517.67x = 9,779.13 × 2,622.38
  4. Step 4: Simplify right side
    6,517.67x = 25,644,546.03
  5. Step 5: Solve for x
    x = 25,644,546.03/6,517.67
  6. Step 6: Final answer
    x = 3,934.62

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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.