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Finding the Fourth Proportional to 9,769.88, 13,481.73 and 5,993.19

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Solution

The fourth proportional to 9,769.88, 13,481.73 and 5,993.19 is: 8,270.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,769.88 : 13,481.73 = 5,993.19 : x
  2. Step 2: Convert to fraction form
    9,769.88/13,481.73 = 5,993.19/x
  3. Step 3: Cross multiply
    9,769.88x = 13,481.73 × 5,993.19
  4. Step 4: Simplify right side
    9,769.88x = 80,798,569.42
  5. Step 5: Solve for x
    x = 80,798,569.42/9,769.88
  6. Step 6: Final answer
    x = 8,270.17

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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.