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Finding the Fourth Proportional to 9,361.44, 14,039.28 and 3,204

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Solution

The fourth proportional to 9,361.44, 14,039.28 and 3,204 is: 4,805.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,361.44 : 14,039.28 = 3,204 : x
  2. Step 2: Convert to fraction form
    9,361.44/14,039.28 = 3,204/x
  3. Step 3: Cross multiply
    9,361.44x = 14,039.28 × 3,204
  4. Step 4: Simplify right side
    9,361.44x = 44,981,853.12
  5. Step 5: Solve for x
    x = 44,981,853.12/9,361.44
  6. Step 6: Final answer
    x = 4,805.01

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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.