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Finding the Fourth Proportional to 6,511.92, 9,769.50 and 2,563.44

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Solution

The fourth proportional to 6,511.92, 9,769.50 and 2,563.44 is: 3,845.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,511.92 : 9,769.50 = 2,563.44 : x
  2. Step 2: Convert to fraction form
    6,511.92/9,769.50 = 2,563.44/x
  3. Step 3: Cross multiply
    6,511.92x = 9,769.50 × 2,563.44
  4. Step 4: Simplify right side
    6,511.92x = 25,043,527.08
  5. Step 5: Solve for x
    x = 25,043,527.08/6,511.92
  6. Step 6: Final answer
    x = 3,845.80

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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.