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Finding the Fourth Proportional to 8,769.82, 12,102.06 and 5,231.20

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Solution

The fourth proportional to 8,769.82, 12,102.06 and 5,231.20 is: 7,218.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,769.82 : 12,102.06 = 5,231.20 : x
  2. Step 2: Convert to fraction form
    8,769.82/12,102.06 = 5,231.20/x
  3. Step 3: Cross multiply
    8,769.82x = 12,102.06 × 5,231.20
  4. Step 4: Simplify right side
    8,769.82x = 63,308,296.27
  5. Step 5: Solve for x
    x = 63,308,296.27/8,769.82
  6. Step 6: Final answer
    x = 7,218.88

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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.