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Finding the Fourth Proportional to 27,946.26, 41,921.34 and 9,239.47

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Solution

The fourth proportional to 27,946.26, 41,921.34 and 9,239.47 is: 13,859.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,946.26 : 41,921.34 = 9,239.47 : x
  2. Step 2: Convert to fraction form
    27,946.26/41,921.34 = 9,239.47/x
  3. Step 3: Cross multiply
    27,946.26x = 41,921.34 × 9,239.47
  4. Step 4: Simplify right side
    27,946.26x = 387,330,898.55
  5. Step 5: Solve for x
    x = 387,330,898.55/27,946.26
  6. Step 6: Final answer
    x = 13,859.85

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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.