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Finding the Fourth Proportional to 8,694.97, 13,042.49 and 6,109.45

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Solution

The fourth proportional to 8,694.97, 13,042.49 and 6,109.45 is: 9,164.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,694.97 : 13,042.49 = 6,109.45 : x
  2. Step 2: Convert to fraction form
    8,694.97/13,042.49 = 6,109.45/x
  3. Step 3: Cross multiply
    8,694.97x = 13,042.49 × 6,109.45
  4. Step 4: Simplify right side
    8,694.97x = 79,682,440.53
  5. Step 5: Solve for x
    x = 79,682,440.53/8,694.97
  6. Step 6: Final answer
    x = 9,164.20

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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.