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Finding the Fourth Proportional to 8,694.33, 12,977.84 and 7,469.61

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Solution

The fourth proportional to 8,694.33, 12,977.84 and 7,469.61 is: 11,149.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,694.33 : 12,977.84 = 7,469.61 : x
  2. Step 2: Convert to fraction form
    8,694.33/12,977.84 = 7,469.61/x
  3. Step 3: Cross multiply
    8,694.33x = 12,977.84 × 7,469.61
  4. Step 4: Simplify right side
    8,694.33x = 96,939,366.09
  5. Step 5: Solve for x
    x = 96,939,366.09/8,694.33
  6. Step 6: Final answer
    x = 11,149.72

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.