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Finding the Fourth Proportional to 27,919.44, 41,879.16 and 9,450

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Solution

The fourth proportional to 27,919.44, 41,879.16 and 9,450 is: 14,175.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,919.44 : 41,879.16 = 9,450 : x
  2. Step 2: Convert to fraction form
    27,919.44/41,879.16 = 9,450/x
  3. Step 3: Cross multiply
    27,919.44x = 41,879.16 × 9,450
  4. Step 4: Simplify right side
    27,919.44x = 395,758,062.00
  5. Step 5: Solve for x
    x = 395,758,062.00/27,919.44
  6. Step 6: Final answer
    x = 14,175.00

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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.