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Finding the Fourth Proportional to 6,218.97, 9,337.05 and 3,219.18

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Solution

The fourth proportional to 6,218.97, 9,337.05 and 3,219.18 is: 4,833.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,218.97 : 9,337.05 = 3,219.18 : x
  2. Step 2: Convert to fraction form
    6,218.97/9,337.05 = 3,219.18/x
  3. Step 3: Cross multiply
    6,218.97x = 9,337.05 × 3,219.18
  4. Step 4: Simplify right side
    6,218.97x = 30,057,644.62
  5. Step 5: Solve for x
    x = 30,057,644.62/6,218.97
  6. Step 6: Final answer
    x = 4,833.22

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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.