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Finding the Fourth Proportional to 6,512.31, 9,769.32 and 2,128.23

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Solution

The fourth proportional to 6,512.31, 9,769.32 and 2,128.23 is: 3,192.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,512.31 : 9,769.32 = 2,128.23 : x
  2. Step 2: Convert to fraction form
    6,512.31/9,769.32 = 2,128.23/x
  3. Step 3: Cross multiply
    6,512.31x = 9,769.32 × 2,128.23
  4. Step 4: Simplify right side
    6,512.31x = 20,791,359.90
  5. Step 5: Solve for x
    x = 20,791,359.90/6,512.31
  6. Step 6: Final answer
    x = 3,192.62

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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.