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Finding the Fourth Proportional to 27,946.04, 41,910.06 and 9,221.72

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Solution

The fourth proportional to 27,946.04, 41,910.06 and 9,221.72 is: 13,829.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,946.04 : 41,910.06 = 9,221.72 : x
  2. Step 2: Convert to fraction form
    27,946.04/41,910.06 = 9,221.72/x
  3. Step 3: Cross multiply
    27,946.04x = 41,910.06 × 9,221.72
  4. Step 4: Simplify right side
    27,946.04x = 386,482,838.50
  5. Step 5: Solve for x
    x = 386,482,838.50/27,946.04
  6. Step 6: Final answer
    x = 13,829.61

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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.