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Finding the Fourth Proportional to 9,522.26, 13,147.21 and 5,938.62

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Solution

The fourth proportional to 9,522.26, 13,147.21 and 5,938.62 is: 8,199.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,522.26 : 13,147.21 = 5,938.62 : x
  2. Step 2: Convert to fraction form
    9,522.26/13,147.21 = 5,938.62/x
  3. Step 3: Cross multiply
    9,522.26x = 13,147.21 × 5,938.62
  4. Step 4: Simplify right side
    9,522.26x = 78,076,242.37
  5. Step 5: Solve for x
    x = 78,076,242.37/9,522.26
  6. Step 6: Final answer
    x = 8,199.34

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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.