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Finding the Fourth Proportional to 9,486.97, 13,103.61 and 6,512.65

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Solution

The fourth proportional to 9,486.97, 13,103.61 and 6,512.65 is: 8,995.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,486.97 : 13,103.61 = 6,512.65 : x
  2. Step 2: Convert to fraction form
    9,486.97/13,103.61 = 6,512.65/x
  3. Step 3: Cross multiply
    9,486.97x = 13,103.61 × 6,512.65
  4. Step 4: Simplify right side
    9,486.97x = 85,339,168.49
  5. Step 5: Solve for x
    x = 85,339,168.49/9,486.97
  6. Step 6: Final answer
    x = 8,995.41

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