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Finding the Fourth Proportional to 6,429.40, 9,644.52 and 2,482.54

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Solution

The fourth proportional to 6,429.40, 9,644.52 and 2,482.54 is: 3,723.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,429.40 : 9,644.52 = 2,482.54 : x
  2. Step 2: Convert to fraction form
    6,429.40/9,644.52 = 2,482.54/x
  3. Step 3: Cross multiply
    6,429.40x = 9,644.52 × 2,482.54
  4. Step 4: Simplify right side
    6,429.40x = 23,942,906.68
  5. Step 5: Solve for x
    x = 23,942,906.68/6,429.40
  6. Step 6: Final answer
    x = 3,723.97

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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.