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Finding the Fourth Proportional to 9,229, 13,843.62 and 3,073

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Solution

The fourth proportional to 9,229, 13,843.62 and 3,073 is: 4,609.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,229 : 13,843.62 = 3,073 : x
  2. Step 2: Convert to fraction form
    9,229/13,843.62 = 3,073/x
  3. Step 3: Cross multiply
    9,229x = 13,843.62 × 3,073
  4. Step 4: Simplify right side
    9,229x = 42,541,444.26
  5. Step 5: Solve for x
    x = 42,541,444.26/9,229
  6. Step 6: Final answer
    x = 4,609.54

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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.