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Finding the Fourth Proportional to 6,439.68, 9,657.74 and 2,279.14

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Solution

The fourth proportional to 6,439.68, 9,657.74 and 2,279.14 is: 3,418.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,439.68 : 9,657.74 = 2,279.14 : x
  2. Step 2: Convert to fraction form
    6,439.68/9,657.74 = 2,279.14/x
  3. Step 3: Cross multiply
    6,439.68x = 9,657.74 × 2,279.14
  4. Step 4: Simplify right side
    6,439.68x = 22,011,371.01
  5. Step 5: Solve for x
    x = 22,011,371.01/6,439.68
  6. Step 6: Final answer
    x = 3,418.08

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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.