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Finding the Fourth Proportional to 6,065.20, 9,097.86 and 3,998.44

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Solution

The fourth proportional to 6,065.20, 9,097.86 and 3,998.44 is: 5,997.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,065.20 : 9,097.86 = 3,998.44 : x
  2. Step 2: Convert to fraction form
    6,065.20/9,097.86 = 3,998.44/x
  3. Step 3: Cross multiply
    6,065.20x = 9,097.86 × 3,998.44
  4. Step 4: Simplify right side
    6,065.20x = 36,377,247.34
  5. Step 5: Solve for x
    x = 36,377,247.34/6,065.20
  6. Step 6: Final answer
    x = 5,997.70

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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.