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Finding the Fourth Proportional to 6,439.26, 9,659.65 and 2,278.40

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Solution

The fourth proportional to 6,439.26, 9,659.65 and 2,278.40 is: 3,417.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,439.26 : 9,659.65 = 2,278.40 : x
  2. Step 2: Convert to fraction form
    6,439.26/9,659.65 = 2,278.40/x
  3. Step 3: Cross multiply
    6,439.26x = 9,659.65 × 2,278.40
  4. Step 4: Simplify right side
    6,439.26x = 22,008,546.56
  5. Step 5: Solve for x
    x = 22,008,546.56/6,439.26
  6. Step 6: Final answer
    x = 3,417.87

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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.