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Finding the Fourth Proportional to 27,948.64, 41,928.08 and 9,229.94

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Solution

The fourth proportional to 27,948.64, 41,928.08 and 9,229.94 is: 13,846.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,948.64 : 41,928.08 = 9,229.94 : x
  2. Step 2: Convert to fraction form
    27,948.64/41,928.08 = 9,229.94/x
  3. Step 3: Cross multiply
    27,948.64x = 41,928.08 × 9,229.94
  4. Step 4: Simplify right side
    27,948.64x = 386,993,662.72
  5. Step 5: Solve for x
    x = 386,993,662.72/27,948.64
  6. Step 6: Final answer
    x = 13,846.60

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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.