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Finding the Fourth Proportional to 6,314.32, 9,464.28 and 3,843.70

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Solution

The fourth proportional to 6,314.32, 9,464.28 and 3,843.70 is: 5,761.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,314.32 : 9,464.28 = 3,843.70 : x
  2. Step 2: Convert to fraction form
    6,314.32/9,464.28 = 3,843.70/x
  3. Step 3: Cross multiply
    6,314.32x = 9,464.28 × 3,843.70
  4. Step 4: Simplify right side
    6,314.32x = 36,377,853.04
  5. Step 5: Solve for x
    x = 36,377,853.04/6,314.32
  6. Step 6: Final answer
    x = 5,761.17

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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.