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Finding the Fourth Proportional to 9,506.39, 13,105.10 and 6,517.49

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Solution

The fourth proportional to 9,506.39, 13,105.10 and 6,517.49 is: 8,984.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,506.39 : 13,105.10 = 6,517.49 : x
  2. Step 2: Convert to fraction form
    9,506.39/13,105.10 = 6,517.49/x
  3. Step 3: Cross multiply
    9,506.39x = 13,105.10 × 6,517.49
  4. Step 4: Simplify right side
    9,506.39x = 85,412,325.61
  5. Step 5: Solve for x
    x = 85,412,325.61/9,506.39
  6. Step 6: Final answer
    x = 8,984.73

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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.