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Finding the Fourth Proportional to 6,512.44, 9,768.36 and 2,129.36

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Solution

The fourth proportional to 6,512.44, 9,768.36 and 2,129.36 is: 3,193.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,512.44 : 9,768.36 = 2,129.36 : x
  2. Step 2: Convert to fraction form
    6,512.44/9,768.36 = 2,129.36/x
  3. Step 3: Cross multiply
    6,512.44x = 9,768.36 × 2,129.36
  4. Step 4: Simplify right side
    6,512.44x = 20,800,355.05
  5. Step 5: Solve for x
    x = 20,800,355.05/6,512.44
  6. Step 6: Final answer
    x = 3,193.94

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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.