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Finding the Fourth Proportional to 9,413.81, 12,991.06 and 5,222.06

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Solution

The fourth proportional to 9,413.81, 12,991.06 and 5,222.06 is: 7,206.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,413.81 : 12,991.06 = 5,222.06 : x
  2. Step 2: Convert to fraction form
    9,413.81/12,991.06 = 5,222.06/x
  3. Step 3: Cross multiply
    9,413.81x = 12,991.06 × 5,222.06
  4. Step 4: Simplify right side
    9,413.81x = 67,840,003.72
  5. Step 5: Solve for x
    x = 67,840,003.72/9,413.81
  6. Step 6: Final answer
    x = 7,206.44

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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.