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Finding the Fourth Proportional to 9,413.61, 12,991.50 and 5,221.86

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Solution

The fourth proportional to 9,413.61, 12,991.50 and 5,221.86 is: 7,206.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,413.61 : 12,991.50 = 5,221.86 : x
  2. Step 2: Convert to fraction form
    9,413.61/12,991.50 = 5,221.86/x
  3. Step 3: Cross multiply
    9,413.61x = 12,991.50 × 5,221.86
  4. Step 4: Simplify right side
    9,413.61x = 67,839,794.19
  5. Step 5: Solve for x
    x = 67,839,794.19/9,413.61
  6. Step 6: Final answer
    x = 7,206.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.