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Finding the Fourth Proportional to 6,555.40, 9,044.22 and 4,198.96

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Solution

The fourth proportional to 6,555.40, 9,044.22 and 4,198.96 is: 5,793.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,555.40 : 9,044.22 = 4,198.96 : x
  2. Step 2: Convert to fraction form
    6,555.40/9,044.22 = 4,198.96/x
  3. Step 3: Cross multiply
    6,555.40x = 9,044.22 × 4,198.96
  4. Step 4: Simplify right side
    6,555.40x = 37,976,318.01
  5. Step 5: Solve for x
    x = 37,976,318.01/6,555.40
  6. Step 6: Final answer
    x = 5,793.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.