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Finding the Fourth Proportional to 9,249.44, 13,837.30 and 8,031.20

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Solution

The fourth proportional to 9,249.44, 13,837.30 and 8,031.20 is: 12,014.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,249.44 : 13,837.30 = 8,031.20 : x
  2. Step 2: Convert to fraction form
    9,249.44/13,837.30 = 8,031.20/x
  3. Step 3: Cross multiply
    9,249.44x = 13,837.30 × 8,031.20
  4. Step 4: Simplify right side
    9,249.44x = 111,130,034.50
  5. Step 5: Solve for x
    x = 111,130,034.50/9,249.44
  6. Step 6: Final answer
    x = 12,014.79

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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.