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Finding the Fourth Proportional to 6,532.42, 9,799.71 and 3,245.62

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Solution

The fourth proportional to 6,532.42, 9,799.71 and 3,245.62 is: 4,868.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,532.42 : 9,799.71 = 3,245.62 : x
  2. Step 2: Convert to fraction form
    6,532.42/9,799.71 = 3,245.62/x
  3. Step 3: Cross multiply
    6,532.42x = 9,799.71 × 3,245.62
  4. Step 4: Simplify right side
    6,532.42x = 31,806,134.77
  5. Step 5: Solve for x
    x = 31,806,134.77/6,532.42
  6. Step 6: Final answer
    x = 4,868.97

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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.