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Finding the Fourth Proportional to 11,970.97, 16,503.67 and 9,729.29

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Solution

The fourth proportional to 11,970.97, 16,503.67 and 9,729.29 is: 13,413.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,970.97 : 16,503.67 = 9,729.29 : x
  2. Step 2: Convert to fraction form
    11,970.97/16,503.67 = 9,729.29/x
  3. Step 3: Cross multiply
    11,970.97x = 16,503.67 × 9,729.29
  4. Step 4: Simplify right side
    11,970.97x = 160,568,991.49
  5. Step 5: Solve for x
    x = 160,568,991.49/11,970.97
  6. Step 6: Final answer
    x = 13,413.20

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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.