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Finding the Fourth Proportional to 6,737.69, 10,099.92 and 3,226.70

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Solution

The fourth proportional to 6,737.69, 10,099.92 and 3,226.70 is: 4,836.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,737.69 : 10,099.92 = 3,226.70 : x
  2. Step 2: Convert to fraction form
    6,737.69/10,099.92 = 3,226.70/x
  3. Step 3: Cross multiply
    6,737.69x = 10,099.92 × 3,226.70
  4. Step 4: Simplify right side
    6,737.69x = 32,589,411.86
  5. Step 5: Solve for x
    x = 32,589,411.86/6,737.69
  6. Step 6: Final answer
    x = 4,836.88

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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.