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Finding the Fourth Proportional to 6,168.10, 9,252.15 and 4,209.70

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Solution

The fourth proportional to 6,168.10, 9,252.15 and 4,209.70 is: 6,314.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,168.10 : 9,252.15 = 4,209.70 : x
  2. Step 2: Convert to fraction form
    6,168.10/9,252.15 = 4,209.70/x
  3. Step 3: Cross multiply
    6,168.10x = 9,252.15 × 4,209.70
  4. Step 4: Simplify right side
    6,168.10x = 38,948,775.86
  5. Step 5: Solve for x
    x = 38,948,775.86/6,168.10
  6. Step 6: Final answer
    x = 6,314.55

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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.