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Finding the Fourth Proportional to 9,993.38, 13,792.07 and 5,801.63

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Solution

The fourth proportional to 9,993.38, 13,792.07 and 5,801.63 is: 8,006.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,993.38 : 13,792.07 = 5,801.63 : x
  2. Step 2: Convert to fraction form
    9,993.38/13,792.07 = 5,801.63/x
  3. Step 3: Cross multiply
    9,993.38x = 13,792.07 × 5,801.63
  4. Step 4: Simplify right side
    9,993.38x = 80,016,432.62
  5. Step 5: Solve for x
    x = 80,016,432.62/9,993.38
  6. Step 6: Final answer
    x = 8,006.95

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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.