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Finding the Fourth Proportional to 6,409.40, 9,618.39 and 2,249.43

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Solution

The fourth proportional to 6,409.40, 9,618.39 and 2,249.43 is: 3,375.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,409.40 : 9,618.39 = 2,249.43 : x
  2. Step 2: Convert to fraction form
    6,409.40/9,618.39 = 2,249.43/x
  3. Step 3: Cross multiply
    6,409.40x = 9,618.39 × 2,249.43
  4. Step 4: Simplify right side
    6,409.40x = 21,635,835.68
  5. Step 5: Solve for x
    x = 21,635,835.68/6,409.40
  6. Step 6: Final answer
    x = 3,375.64

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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.