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Finding the Fourth Proportional to 27,733, 41,600.04 and 9,265

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Solution

The fourth proportional to 27,733, 41,600.04 and 9,265 is: 13,897.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,733 : 41,600.04 = 9,265 : x
  2. Step 2: Convert to fraction form
    27,733/41,600.04 = 9,265/x
  3. Step 3: Cross multiply
    27,733x = 41,600.04 × 9,265
  4. Step 4: Simplify right side
    27,733x = 385,424,370.60
  5. Step 5: Solve for x
    x = 385,424,370.60/27,733
  6. Step 6: Final answer
    x = 13,897.68

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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.