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Finding the Fourth Proportional to 27,946.30, 41,910.54 and 9,222.86

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Solution

The fourth proportional to 27,946.30, 41,910.54 and 9,222.86 is: 13,831.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,946.30 : 41,910.54 = 9,222.86 : x
  2. Step 2: Convert to fraction form
    27,946.30/41,910.54 = 9,222.86/x
  3. Step 3: Cross multiply
    27,946.30x = 41,910.54 × 9,222.86
  4. Step 4: Simplify right side
    27,946.30x = 386,535,042.94
  5. Step 5: Solve for x
    x = 386,535,042.94/27,946.30
  6. Step 6: Final answer
    x = 13,831.35

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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.