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Finding the Fourth Proportional to 9,436, 13,022.09 and 5,244.25

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Solution

The fourth proportional to 9,436, 13,022.09 and 5,244.25 is: 7,237.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,436 : 13,022.09 = 5,244.25 : x
  2. Step 2: Convert to fraction form
    9,436/13,022.09 = 5,244.25/x
  3. Step 3: Cross multiply
    9,436x = 13,022.09 × 5,244.25
  4. Step 4: Simplify right side
    9,436x = 68,291,095.48
  5. Step 5: Solve for x
    x = 68,291,095.48/9,436
  6. Step 6: Final answer
    x = 7,237.29

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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.