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Finding the Fourth Proportional to 6,202.62, 9,305.46 and 2,911.92

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Solution

The fourth proportional to 6,202.62, 9,305.46 and 2,911.92 is: 4,368.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,202.62 : 9,305.46 = 2,911.92 : x
  2. Step 2: Convert to fraction form
    6,202.62/9,305.46 = 2,911.92/x
  3. Step 3: Cross multiply
    6,202.62x = 9,305.46 × 2,911.92
  4. Step 4: Simplify right side
    6,202.62x = 27,096,755.08
  5. Step 5: Solve for x
    x = 27,096,755.08/6,202.62
  6. Step 6: Final answer
    x = 4,368.60

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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.