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Finding the Fourth Proportional to 6,394.97, 9,593.77 and 2,697.21

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Solution

The fourth proportional to 6,394.97, 9,593.77 and 2,697.21 is: 4,046.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,394.97 : 9,593.77 = 2,697.21 : x
  2. Step 2: Convert to fraction form
    6,394.97/9,593.77 = 2,697.21/x
  3. Step 3: Cross multiply
    6,394.97x = 9,593.77 × 2,697.21
  4. Step 4: Simplify right side
    6,394.97x = 25,876,405.64
  5. Step 5: Solve for x
    x = 25,876,405.64/6,394.97
  6. Step 6: Final answer
    x = 4,046.37

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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.