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Finding the Fourth Proportional to 9,217.92, 13,832.76 and 9,183.90

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Solution

The fourth proportional to 9,217.92, 13,832.76 and 9,183.90 is: 13,781.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,217.92 : 13,832.76 = 9,183.90 : x
  2. Step 2: Convert to fraction form
    9,217.92/13,832.76 = 9,183.90/x
  3. Step 3: Cross multiply
    9,217.92x = 13,832.76 × 9,183.90
  4. Step 4: Simplify right side
    9,217.92x = 127,038,684.56
  5. Step 5: Solve for x
    x = 127,038,684.56/9,217.92
  6. Step 6: Final answer
    x = 13,781.71

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1.5x scale

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.