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Finding the Fourth Proportional to 9,072.10, 13,609.52 and 3,227.34

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Solution

The fourth proportional to 9,072.10, 13,609.52 and 3,227.34 is: 4,841.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,072.10 : 13,609.52 = 3,227.34 : x
  2. Step 2: Convert to fraction form
    9,072.10/13,609.52 = 3,227.34/x
  3. Step 3: Cross multiply
    9,072.10x = 13,609.52 × 3,227.34
  4. Step 4: Simplify right side
    9,072.10x = 43,922,595.28
  5. Step 5: Solve for x
    x = 43,922,595.28/9,072.10
  6. Step 6: Final answer
    x = 4,841.50

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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.