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Finding the Fourth Proportional to 6,512.46, 9,769.50 and 2,128.74

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Solution

The fourth proportional to 6,512.46, 9,769.50 and 2,128.74 is: 3,193.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,512.46 : 9,769.50 = 2,128.74 : x
  2. Step 2: Convert to fraction form
    6,512.46/9,769.50 = 2,128.74/x
  3. Step 3: Cross multiply
    6,512.46x = 9,769.50 × 2,128.74
  4. Step 4: Simplify right side
    6,512.46x = 20,796,725.43
  5. Step 5: Solve for x
    x = 20,796,725.43/6,512.46
  6. Step 6: Final answer
    x = 3,193.37

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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.