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Finding the Fourth Proportional to 27,958.32, 41,941.80 and 9,486

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Solution

The fourth proportional to 27,958.32, 41,941.80 and 9,486 is: 14,230.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,958.32 : 41,941.80 = 9,486 : x
  2. Step 2: Convert to fraction form
    27,958.32/41,941.80 = 9,486/x
  3. Step 3: Cross multiply
    27,958.32x = 41,941.80 × 9,486
  4. Step 4: Simplify right side
    27,958.32x = 397,859,914.80
  5. Step 5: Solve for x
    x = 397,859,914.80/27,958.32
  6. Step 6: Final answer
    x = 14,230.47

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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.