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Finding the Fourth Proportional to 9,413.63, 12,991.41 and 5,221.88

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Solution

The fourth proportional to 9,413.63, 12,991.41 and 5,221.88 is: 7,206.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,413.63 : 12,991.41 = 5,221.88 : x
  2. Step 2: Convert to fraction form
    9,413.63/12,991.41 = 5,221.88/x
  3. Step 3: Cross multiply
    9,413.63x = 12,991.41 × 5,221.88
  4. Step 4: Simplify right side
    9,413.63x = 67,839,519.09
  5. Step 5: Solve for x
    x = 67,839,519.09/9,413.63
  6. Step 6: Final answer
    x = 7,206.52

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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.