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Finding the Fourth Proportional to 6,367.92, 9,549.18 and 3,445.44

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Solution

The fourth proportional to 6,367.92, 9,549.18 and 3,445.44 is: 5,166.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,367.92 : 9,549.18 = 3,445.44 : x
  2. Step 2: Convert to fraction form
    6,367.92/9,549.18 = 3,445.44/x
  3. Step 3: Cross multiply
    6,367.92x = 9,549.18 × 3,445.44
  4. Step 4: Simplify right side
    6,367.92x = 32,901,126.74
  5. Step 5: Solve for x
    x = 32,901,126.74/6,367.92
  6. Step 6: Final answer
    x = 5,166.70

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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.