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Finding the Fourth Proportional to 6,735.69, 10,096.92 and 3,224.70

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Solution

The fourth proportional to 6,735.69, 10,096.92 and 3,224.70 is: 4,833.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,735.69 : 10,096.92 = 3,224.70 : x
  2. Step 2: Convert to fraction form
    6,735.69/10,096.92 = 3,224.70/x
  3. Step 3: Cross multiply
    6,735.69x = 10,096.92 × 3,224.70
  4. Step 4: Simplify right side
    6,735.69x = 32,559,537.92
  5. Step 5: Solve for x
    x = 32,559,537.92/6,735.69
  6. Step 6: Final answer
    x = 4,833.88

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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.