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Finding the Fourth Proportional to 9,367.62, 12,927.32 and 5,175.88

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Solution

The fourth proportional to 9,367.62, 12,927.32 and 5,175.88 is: 7,142.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,367.62 : 12,927.32 = 5,175.88 : x
  2. Step 2: Convert to fraction form
    9,367.62/12,927.32 = 5,175.88/x
  3. Step 3: Cross multiply
    9,367.62x = 12,927.32 × 5,175.88
  4. Step 4: Simplify right side
    9,367.62x = 66,910,257.04
  5. Step 5: Solve for x
    x = 66,910,257.04/9,367.62
  6. Step 6: Final answer
    x = 7,142.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.