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Finding the Fourth Proportional to 9,255.48, 12,765.32 and 8,194.38

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Solution

The fourth proportional to 9,255.48, 12,765.32 and 8,194.38 is: 11,301.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,255.48 : 12,765.32 = 8,194.38 : x
  2. Step 2: Convert to fraction form
    9,255.48/12,765.32 = 8,194.38/x
  3. Step 3: Cross multiply
    9,255.48x = 12,765.32 × 8,194.38
  4. Step 4: Simplify right side
    9,255.48x = 104,603,882.90
  5. Step 5: Solve for x
    x = 104,603,882.90/9,255.48
  6. Step 6: Final answer
    x = 11,301.83

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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.