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Finding the Fourth Proportional to 9,766.85, 13,469.39 and 6,408.38

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Solution

The fourth proportional to 9,766.85, 13,469.39 and 6,408.38 is: 8,837.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,766.85 : 13,469.39 = 6,408.38 : x
  2. Step 2: Convert to fraction form
    9,766.85/13,469.39 = 6,408.38/x
  3. Step 3: Cross multiply
    9,766.85x = 13,469.39 × 6,408.38
  4. Step 4: Simplify right side
    9,766.85x = 86,316,995.15
  5. Step 5: Solve for x
    x = 86,316,995.15/9,766.85
  6. Step 6: Final answer
    x = 8,837.76

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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.