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Finding the Fourth Proportional to 6,421.38, 9,632.69 and 2,524.88

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Solution

The fourth proportional to 6,421.38, 9,632.69 and 2,524.88 is: 3,787.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,421.38 : 9,632.69 = 2,524.88 : x
  2. Step 2: Convert to fraction form
    6,421.38/9,632.69 = 2,524.88/x
  3. Step 3: Cross multiply
    6,421.38x = 9,632.69 × 2,524.88
  4. Step 4: Simplify right side
    6,421.38x = 24,321,325.54
  5. Step 5: Solve for x
    x = 24,321,325.54/6,421.38
  6. Step 6: Final answer
    x = 3,787.55

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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.