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Finding the Fourth Proportional to 9,769.61, 13,481.92 and 5,939.93

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Solution

The fourth proportional to 9,769.61, 13,481.92 and 5,939.93 is: 8,197.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,769.61 : 13,481.92 = 5,939.93 : x
  2. Step 2: Convert to fraction form
    9,769.61/13,481.92 = 5,939.93/x
  3. Step 3: Cross multiply
    9,769.61x = 13,481.92 × 5,939.93
  4. Step 4: Simplify right side
    9,769.61x = 80,081,661.07
  5. Step 5: Solve for x
    x = 80,081,661.07/9,769.61
  6. Step 6: Final answer
    x = 8,197.02

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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.