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Finding the Fourth Proportional to 9,072.05, 13,609.29 and 3,228.71

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Solution

The fourth proportional to 9,072.05, 13,609.29 and 3,228.71 is: 4,843.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,072.05 : 13,609.29 = 3,228.71 : x
  2. Step 2: Convert to fraction form
    9,072.05/13,609.29 = 3,228.71/x
  3. Step 3: Cross multiply
    9,072.05x = 13,609.29 × 3,228.71
  4. Step 4: Simplify right side
    9,072.05x = 43,940,450.72
  5. Step 5: Solve for x
    x = 43,940,450.72/9,072.05
  6. Step 6: Final answer
    x = 4,843.50

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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.