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Finding the Fourth Proportional to 6,376.44, 9,568.38 and 2,678.38

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Solution

The fourth proportional to 6,376.44, 9,568.38 and 2,678.38 is: 4,019.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,376.44 : 9,568.38 = 2,678.38 : x
  2. Step 2: Convert to fraction form
    6,376.44/9,568.38 = 2,678.38/x
  3. Step 3: Cross multiply
    6,376.44x = 9,568.38 × 2,678.38
  4. Step 4: Simplify right side
    6,376.44x = 25,627,757.62
  5. Step 5: Solve for x
    x = 25,627,757.62/6,376.44
  6. Step 6: Final answer
    x = 4,019.13

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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.