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Finding the Fourth Proportional to 9,436, 13,021.68 and 5,245.08

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Solution

The fourth proportional to 9,436, 13,021.68 and 5,245.08 is: 7,238.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,436 : 13,021.68 = 5,245.08 : x
  2. Step 2: Convert to fraction form
    9,436/13,021.68 = 5,245.08/x
  3. Step 3: Cross multiply
    9,436x = 13,021.68 × 5,245.08
  4. Step 4: Simplify right side
    9,436x = 68,299,753.33
  5. Step 5: Solve for x
    x = 68,299,753.33/9,436
  6. Step 6: Final answer
    x = 7,238.21

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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.