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Finding the Fourth Proportional to 27,786.58, 41,684.20 and 9,314.26

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Solution

The fourth proportional to 27,786.58, 41,684.20 and 9,314.26 is: 13,972.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,786.58 : 41,684.20 = 9,314.26 : x
  2. Step 2: Convert to fraction form
    27,786.58/41,684.20 = 9,314.26/x
  3. Step 3: Cross multiply
    27,786.58x = 41,684.20 × 9,314.26
  4. Step 4: Simplify right side
    27,786.58x = 388,257,476.69
  5. Step 5: Solve for x
    x = 388,257,476.69/27,786.58
  6. Step 6: Final answer
    x = 13,972.84

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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.