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Finding the Fourth Proportional to 9,413.99, 12,991.31 and 5,222.24

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Solution

The fourth proportional to 9,413.99, 12,991.31 and 5,222.24 is: 7,206.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,413.99 : 12,991.31 = 5,222.24 : x
  2. Step 2: Convert to fraction form
    9,413.99/12,991.31 = 5,222.24/x
  3. Step 3: Cross multiply
    9,413.99x = 12,991.31 × 5,222.24
  4. Step 4: Simplify right side
    9,413.99x = 67,843,715.97
  5. Step 5: Solve for x
    x = 67,843,715.97/9,413.99
  6. Step 6: Final answer
    x = 7,206.69

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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.