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Finding the Fourth Proportional to 6,227.50, 9,343.11 and 2,529.02

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Solution

The fourth proportional to 6,227.50, 9,343.11 and 2,529.02 is: 3,794.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,227.50 : 9,343.11 = 2,529.02 : x
  2. Step 2: Convert to fraction form
    6,227.50/9,343.11 = 2,529.02/x
  3. Step 3: Cross multiply
    6,227.50x = 9,343.11 × 2,529.02
  4. Step 4: Simplify right side
    6,227.50x = 23,628,912.05
  5. Step 5: Solve for x
    x = 23,628,912.05/6,227.50
  6. Step 6: Final answer
    x = 3,794.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.