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Finding the Fourth Proportional to 9,869.38, 13,620.69 and 5,393.81

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Solution

The fourth proportional to 9,869.38, 13,620.69 and 5,393.81 is: 7,443.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,869.38 : 13,620.69 = 5,393.81 : x
  2. Step 2: Convert to fraction form
    9,869.38/13,620.69 = 5,393.81/x
  3. Step 3: Cross multiply
    9,869.38x = 13,620.69 × 5,393.81
  4. Step 4: Simplify right side
    9,869.38x = 73,467,413.93
  5. Step 5: Solve for x
    x = 73,467,413.93/9,869.38
  6. Step 6: Final answer
    x = 7,443.97

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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.