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Finding the Fourth Proportional to 9,496.34, 13,104.89 and 5,247.38

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Solution

The fourth proportional to 9,496.34, 13,104.89 and 5,247.38 is: 7,241.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,496.34 : 13,104.89 = 5,247.38 : x
  2. Step 2: Convert to fraction form
    9,496.34/13,104.89 = 5,247.38/x
  3. Step 3: Cross multiply
    9,496.34x = 13,104.89 × 5,247.38
  4. Step 4: Simplify right side
    9,496.34x = 68,766,363.89
  5. Step 5: Solve for x
    x = 68,766,363.89/9,496.34
  6. Step 6: Final answer
    x = 7,241.36

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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.