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Finding the Fourth Proportional to 9,204.96, 12,694.68 and 6,020.04

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Solution

The fourth proportional to 9,204.96, 12,694.68 and 6,020.04 is: 8,302.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,204.96 : 12,694.68 = 6,020.04 : x
  2. Step 2: Convert to fraction form
    9,204.96/12,694.68 = 6,020.04/x
  3. Step 3: Cross multiply
    9,204.96x = 12,694.68 × 6,020.04
  4. Step 4: Simplify right side
    9,204.96x = 76,422,481.39
  5. Step 5: Solve for x
    x = 76,422,481.39/9,204.96
  6. Step 6: Final answer
    x = 8,302.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.