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Finding the Fourth Proportional to 6,438.21, 9,660.39 and 3,149.51

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Solution

The fourth proportional to 6,438.21, 9,660.39 and 3,149.51 is: 4,725.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,438.21 : 9,660.39 = 3,149.51 : x
  2. Step 2: Convert to fraction form
    6,438.21/9,660.39 = 3,149.51/x
  3. Step 3: Cross multiply
    6,438.21x = 9,660.39 × 3,149.51
  4. Step 4: Simplify right side
    6,438.21x = 30,425,470.82
  5. Step 5: Solve for x
    x = 30,425,470.82/6,438.21
  6. Step 6: Final answer
    x = 4,725.77

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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.