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Finding the Fourth Proportional to 9,832.38, 14,749.07 and 9,334.12

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Solution

The fourth proportional to 9,832.38, 14,749.07 and 9,334.12 is: 14,001.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,832.38 : 14,749.07 = 9,334.12 : x
  2. Step 2: Convert to fraction form
    9,832.38/14,749.07 = 9,334.12/x
  3. Step 3: Cross multiply
    9,832.38x = 14,749.07 × 9,334.12
  4. Step 4: Simplify right side
    9,832.38x = 137,669,589.27
  5. Step 5: Solve for x
    x = 137,669,589.27/9,832.38
  6. Step 6: Final answer
    x = 14,001.65

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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.