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Finding the Fourth Proportional to 6,344.86, 9,517.94 and 2,184.33

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Solution

The fourth proportional to 6,344.86, 9,517.94 and 2,184.33 is: 3,276.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,344.86 : 9,517.94 = 2,184.33 : x
  2. Step 2: Convert to fraction form
    6,344.86/9,517.94 = 2,184.33/x
  3. Step 3: Cross multiply
    6,344.86x = 9,517.94 × 2,184.33
  4. Step 4: Simplify right side
    6,344.86x = 20,790,321.88
  5. Step 5: Solve for x
    x = 20,790,321.88/6,344.86
  6. Step 6: Final answer
    x = 3,276.72

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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.