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Finding the Fourth Proportional to 27,763.32, 41,636.34 and 9,291

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Solution

The fourth proportional to 27,763.32, 41,636.34 and 9,291 is: 13,933.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,763.32 : 41,636.34 = 9,291 : x
  2. Step 2: Convert to fraction form
    27,763.32/41,636.34 = 9,291/x
  3. Step 3: Cross multiply
    27,763.32x = 41,636.34 × 9,291
  4. Step 4: Simplify right side
    27,763.32x = 386,843,234.94
  5. Step 5: Solve for x
    x = 386,843,234.94/27,763.32
  6. Step 6: Final answer
    x = 13,933.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.