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Finding the Fourth Proportional to 6,438.97, 9,651.93 and 2,278

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Solution

The fourth proportional to 6,438.97, 9,651.93 and 2,278 is: 3,414.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,438.97 : 9,651.93 = 2,278 : x
  2. Step 2: Convert to fraction form
    6,438.97/9,651.93 = 2,278/x
  3. Step 3: Cross multiply
    6,438.97x = 9,651.93 × 2,278
  4. Step 4: Simplify right side
    6,438.97x = 21,987,096.54
  5. Step 5: Solve for x
    x = 21,987,096.54/6,438.97
  6. Step 6: Final answer
    x = 3,414.69

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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.