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Finding the Fourth Proportional to 9,413.92, 12,991.17 and 5,222.17

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Solution

The fourth proportional to 9,413.92, 12,991.17 and 5,222.17 is: 7,206.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,413.92 : 12,991.17 = 5,222.17 : x
  2. Step 2: Convert to fraction form
    9,413.92/12,991.17 = 5,222.17/x
  3. Step 3: Cross multiply
    9,413.92x = 12,991.17 × 5,222.17
  4. Step 4: Simplify right side
    9,413.92x = 67,842,098.24
  5. Step 5: Solve for x
    x = 67,842,098.24/9,413.92
  6. Step 6: Final answer
    x = 7,206.57

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1.5x scale

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.