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Finding the Fourth Proportional to 9,969.80, 13,759.81 and 5,992.70

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Solution

The fourth proportional to 9,969.80, 13,759.81 and 5,992.70 is: 8,270.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,969.80 : 13,759.81 = 5,992.70 : x
  2. Step 2: Convert to fraction form
    9,969.80/13,759.81 = 5,992.70/x
  3. Step 3: Cross multiply
    9,969.80x = 13,759.81 × 5,992.70
  4. Step 4: Simplify right side
    9,969.80x = 82,458,329.61
  5. Step 5: Solve for x
    x = 82,458,329.61/9,969.80
  6. Step 6: Final answer
    x = 8,270.81

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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.