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Finding the Fourth Proportional to 6,532.40, 9,801.96 and 3,245.44

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Solution

The fourth proportional to 6,532.40, 9,801.96 and 3,245.44 is: 4,869.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,532.40 : 9,801.96 = 3,245.44 : x
  2. Step 2: Convert to fraction form
    6,532.40/9,801.96 = 3,245.44/x
  3. Step 3: Cross multiply
    6,532.40x = 9,801.96 × 3,245.44
  4. Step 4: Simplify right side
    6,532.40x = 31,811,673.06
  5. Step 5: Solve for x
    x = 31,811,673.06/6,532.40
  6. Step 6: Final answer
    x = 4,869.83

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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.