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Finding the Fourth Proportional to 6,441.39, 9,649.85 and 5,398.83

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Solution

The fourth proportional to 6,441.39, 9,649.85 and 5,398.83 is: 8,087.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,441.39 : 9,649.85 = 5,398.83 : x
  2. Step 2: Convert to fraction form
    6,441.39/9,649.85 = 5,398.83/x
  3. Step 3: Cross multiply
    6,441.39x = 9,649.85 × 5,398.83
  4. Step 4: Simplify right side
    6,441.39x = 52,097,872.68
  5. Step 5: Solve for x
    x = 52,097,872.68/6,441.39
  6. Step 6: Final answer
    x = 8,087.99

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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.