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Finding the Fourth Proportional to 6,529.92, 9,794.88 and 1,912.92

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Solution

The fourth proportional to 6,529.92, 9,794.88 and 1,912.92 is: 2,869.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,529.92 : 9,794.88 = 1,912.92 : x
  2. Step 2: Convert to fraction form
    6,529.92/9,794.88 = 1,912.92/x
  3. Step 3: Cross multiply
    6,529.92x = 9,794.88 × 1,912.92
  4. Step 4: Simplify right side
    6,529.92x = 18,736,821.85
  5. Step 5: Solve for x
    x = 18,736,821.85/6,529.92
  6. Step 6: Final answer
    x = 2,869.38

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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.