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Finding the Fourth Proportional to 6,238.72, 8,609.45 and 3,406.09

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Solution

The fourth proportional to 6,238.72, 8,609.45 and 3,406.09 is: 4,700.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,238.72 : 8,609.45 = 3,406.09 : x
  2. Step 2: Convert to fraction form
    6,238.72/8,609.45 = 3,406.09/x
  3. Step 3: Cross multiply
    6,238.72x = 8,609.45 × 3,406.09
  4. Step 4: Simplify right side
    6,238.72x = 29,324,571.42
  5. Step 5: Solve for x
    x = 29,324,571.42/6,238.72
  6. Step 6: Final answer
    x = 4,700.42

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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.