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Finding the Fourth Proportional to 9,473.22, 14,180.67 and 6,179.22

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Solution

The fourth proportional to 9,473.22, 14,180.67 and 6,179.22 is: 9,249.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,473.22 : 14,180.67 = 6,179.22 : x
  2. Step 2: Convert to fraction form
    9,473.22/14,180.67 = 6,179.22/x
  3. Step 3: Cross multiply
    9,473.22x = 14,180.67 × 6,179.22
  4. Step 4: Simplify right side
    9,473.22x = 87,625,479.68
  5. Step 5: Solve for x
    x = 87,625,479.68/9,473.22
  6. Step 6: Final answer
    x = 9,249.81

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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.