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Finding the Fourth Proportional to 6,377.69, 9,568.16 and 2,914.13

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Solution

The fourth proportional to 6,377.69, 9,568.16 and 2,914.13 is: 4,371.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,377.69 : 9,568.16 = 2,914.13 : x
  2. Step 2: Convert to fraction form
    6,377.69/9,568.16 = 2,914.13/x
  3. Step 3: Cross multiply
    6,377.69x = 9,568.16 × 2,914.13
  4. Step 4: Simplify right side
    6,377.69x = 27,882,799.69
  5. Step 5: Solve for x
    x = 27,882,799.69/6,377.69
  6. Step 6: Final answer
    x = 4,371.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.