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Finding the Fourth Proportional to 6,165, 9,249.84 and 2,269.80

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Solution

The fourth proportional to 6,165, 9,249.84 and 2,269.80 is: 3,405.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,165 : 9,249.84 = 2,269.80 : x
  2. Step 2: Convert to fraction form
    6,165/9,249.84 = 2,269.80/x
  3. Step 3: Cross multiply
    6,165x = 9,249.84 × 2,269.80
  4. Step 4: Simplify right side
    6,165x = 20,995,286.83
  5. Step 5: Solve for x
    x = 20,995,286.83/6,165
  6. Step 6: Final answer
    x = 3,405.56

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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.