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Finding the Fourth Proportional to 27,385.75, 41,078.76 and 6,609.25

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Solution

The fourth proportional to 27,385.75, 41,078.76 and 6,609.25 is: 9,913.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,385.75 : 41,078.76 = 6,609.25 : x
  2. Step 2: Convert to fraction form
    27,385.75/41,078.76 = 6,609.25/x
  3. Step 3: Cross multiply
    27,385.75x = 41,078.76 × 6,609.25
  4. Step 4: Simplify right side
    27,385.75x = 271,499,794.53
  5. Step 5: Solve for x
    x = 271,499,794.53/27,385.75
  6. Step 6: Final answer
    x = 9,913.91

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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.