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Finding the Fourth Proportional to 6,097.64, 9,149.16 and 2,202.62

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Solution

The fourth proportional to 6,097.64, 9,149.16 and 2,202.62 is: 3,304.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,097.64 : 9,149.16 = 2,202.62 : x
  2. Step 2: Convert to fraction form
    6,097.64/9,149.16 = 2,202.62/x
  3. Step 3: Cross multiply
    6,097.64x = 9,149.16 × 2,202.62
  4. Step 4: Simplify right side
    6,097.64x = 20,152,122.80
  5. Step 5: Solve for x
    x = 20,152,122.80/6,097.64
  6. Step 6: Final answer
    x = 3,304.91

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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.