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Finding the Fourth Proportional to 6,450.34, 9,675.72 and 2,067.24

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Solution

The fourth proportional to 6,450.34, 9,675.72 and 2,067.24 is: 3,100.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,450.34 : 9,675.72 = 2,067.24 : x
  2. Step 2: Convert to fraction form
    6,450.34/9,675.72 = 2,067.24/x
  3. Step 3: Cross multiply
    6,450.34x = 9,675.72 × 2,067.24
  4. Step 4: Simplify right side
    6,450.34x = 20,002,035.41
  5. Step 5: Solve for x
    x = 20,002,035.41/6,450.34
  6. Step 6: Final answer
    x = 3,100.93

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