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Finding the Fourth Proportional to 6,540.50, 9,769.06 and 5,665.70

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Solution

The fourth proportional to 6,540.50, 9,769.06 and 5,665.70 is: 8,462.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,540.50 : 9,769.06 = 5,665.70 : x
  2. Step 2: Convert to fraction form
    6,540.50/9,769.06 = 5,665.70/x
  3. Step 3: Cross multiply
    6,540.50x = 9,769.06 × 5,665.70
  4. Step 4: Simplify right side
    6,540.50x = 55,348,507.93
  5. Step 5: Solve for x
    x = 55,348,507.93/6,540.50
  6. Step 6: Final answer
    x = 8,462.43

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.