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Finding the Fourth Proportional to 6,344.39, 9,517.49 and 1,962.19

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Solution

The fourth proportional to 6,344.39, 9,517.49 and 1,962.19 is: 2,943.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,344.39 : 9,517.49 = 1,962.19 : x
  2. Step 2: Convert to fraction form
    6,344.39/9,517.49 = 1,962.19/x
  3. Step 3: Cross multiply
    6,344.39x = 9,517.49 × 1,962.19
  4. Step 4: Simplify right side
    6,344.39x = 18,675,104.81
  5. Step 5: Solve for x
    x = 18,675,104.81/6,344.39
  6. Step 6: Final answer
    x = 2,943.56

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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.