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Finding the Fourth Proportional to 9,462.38, 13,059.12 and 5,213.88

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Solution

The fourth proportional to 9,462.38, 13,059.12 and 5,213.88 is: 7,195.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,462.38 : 13,059.12 = 5,213.88 : x
  2. Step 2: Convert to fraction form
    9,462.38/13,059.12 = 5,213.88/x
  3. Step 3: Cross multiply
    9,462.38x = 13,059.12 × 5,213.88
  4. Step 4: Simplify right side
    9,462.38x = 68,088,684.59
  5. Step 5: Solve for x
    x = 68,088,684.59/9,462.38
  6. Step 6: Final answer
    x = 7,195.73

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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.