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Finding the Fourth Proportional to 9,327.44, 13,992.60 and 3,170

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Solution

The fourth proportional to 9,327.44, 13,992.60 and 3,170 is: 4,755.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,327.44 : 13,992.60 = 3,170 : x
  2. Step 2: Convert to fraction form
    9,327.44/13,992.60 = 3,170/x
  3. Step 3: Cross multiply
    9,327.44x = 13,992.60 × 3,170
  4. Step 4: Simplify right side
    9,327.44x = 44,356,542
  5. Step 5: Solve for x
    x = 44,356,542/9,327.44
  6. Step 6: Final answer
    x = 4,755.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.