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Finding the Fourth Proportional to 9,325.72, 12,860.38 and 5,967.31

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Solution

The fourth proportional to 9,325.72, 12,860.38 and 5,967.31 is: 8,229.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,325.72 : 12,860.38 = 5,967.31 : x
  2. Step 2: Convert to fraction form
    9,325.72/12,860.38 = 5,967.31/x
  3. Step 3: Cross multiply
    9,325.72x = 12,860.38 × 5,967.31
  4. Step 4: Simplify right side
    9,325.72x = 76,741,874.18
  5. Step 5: Solve for x
    x = 76,741,874.18/9,325.72
  6. Step 6: Final answer
    x = 8,229.06

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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.