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Finding the Fourth Proportional to 9,197.38, 13,798.11 and 3,353.97

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Solution

The fourth proportional to 9,197.38, 13,798.11 and 3,353.97 is: 5,031.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,197.38 : 13,798.11 = 3,353.97 : x
  2. Step 2: Convert to fraction form
    9,197.38/13,798.11 = 3,353.97/x
  3. Step 3: Cross multiply
    9,197.38x = 13,798.11 × 3,353.97
  4. Step 4: Simplify right side
    9,197.38x = 46,278,447.00
  5. Step 5: Solve for x
    x = 46,278,447.00/9,197.38
  6. Step 6: Final answer
    x = 5,031.70

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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.