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Finding the Fourth Proportional to 27,745.32, 41,609.34 and 9,273

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Solution

The fourth proportional to 27,745.32, 41,609.34 and 9,273 is: 13,906.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,745.32 : 41,609.34 = 9,273 : x
  2. Step 2: Convert to fraction form
    27,745.32/41,609.34 = 9,273/x
  3. Step 3: Cross multiply
    27,745.32x = 41,609.34 × 9,273
  4. Step 4: Simplify right side
    27,745.32x = 385,843,409.82
  5. Step 5: Solve for x
    x = 385,843,409.82/27,745.32
  6. Step 6: Final answer
    x = 13,906.61

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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.