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Finding the Fourth Proportional to 9,413.38, 12,991.07 and 5,221.63

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Solution

The fourth proportional to 9,413.38, 12,991.07 and 5,221.63 is: 7,206.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,413.38 : 12,991.07 = 5,221.63 : x
  2. Step 2: Convert to fraction form
    9,413.38/12,991.07 = 5,221.63/x
  3. Step 3: Cross multiply
    9,413.38x = 12,991.07 × 5,221.63
  4. Step 4: Simplify right side
    9,413.38x = 67,834,469.78
  5. Step 5: Solve for x
    x = 67,834,469.78/9,413.38
  6. Step 6: Final answer
    x = 7,206.18

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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.