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Finding the Fourth Proportional to 6,400.68, 9,594.42 and 2,450.85

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Solution

The fourth proportional to 6,400.68, 9,594.42 and 2,450.85 is: 3,673.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,400.68 : 9,594.42 = 2,450.85 : x
  2. Step 2: Convert to fraction form
    6,400.68/9,594.42 = 2,450.85/x
  3. Step 3: Cross multiply
    6,400.68x = 9,594.42 × 2,450.85
  4. Step 4: Simplify right side
    6,400.68x = 23,514,522.34
  5. Step 5: Solve for x
    x = 23,514,522.34/6,400.68
  6. Step 6: Final answer
    x = 3,673.76

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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.