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Finding the Fourth Proportional to 6,022.68, 8,309.73 and 3,469.82

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Solution

The fourth proportional to 6,022.68, 8,309.73 and 3,469.82 is: 4,787.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,022.68 : 8,309.73 = 3,469.82 : x
  2. Step 2: Convert to fraction form
    6,022.68/8,309.73 = 3,469.82/x
  3. Step 3: Cross multiply
    6,022.68x = 8,309.73 × 3,469.82
  4. Step 4: Simplify right side
    6,022.68x = 28,833,223.18
  5. Step 5: Solve for x
    x = 28,833,223.18/6,022.68
  6. Step 6: Final answer
    x = 4,787.44

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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.