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Finding the Fourth Proportional to 9,793.38, 13,516.69 and 5,601.62

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Solution

The fourth proportional to 9,793.38, 13,516.69 and 5,601.62 is: 7,731.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,793.38 : 13,516.69 = 5,601.62 : x
  2. Step 2: Convert to fraction form
    9,793.38/13,516.69 = 5,601.62/x
  3. Step 3: Cross multiply
    9,793.38x = 13,516.69 × 5,601.62
  4. Step 4: Simplify right side
    9,793.38x = 75,715,361.04
  5. Step 5: Solve for x
    x = 75,715,361.04/9,793.38
  6. Step 6: Final answer
    x = 7,731.28

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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.