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Finding the Fourth Proportional to 9,163.96, 13,743.36 and 4,481.44

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Solution

The fourth proportional to 9,163.96, 13,743.36 and 4,481.44 is: 6,720.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,163.96 : 13,743.36 = 4,481.44 : x
  2. Step 2: Convert to fraction form
    9,163.96/13,743.36 = 4,481.44/x
  3. Step 3: Cross multiply
    9,163.96x = 13,743.36 × 4,481.44
  4. Step 4: Simplify right side
    9,163.96x = 61,590,043.24
  5. Step 5: Solve for x
    x = 61,590,043.24/9,163.96
  6. Step 6: Final answer
    x = 6,720.90

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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.