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Finding the Fourth Proportional to 27,286.56, 40,938.48 and 9,756

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Solution

The fourth proportional to 27,286.56, 40,938.48 and 9,756 is: 14,637.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,286.56 : 40,938.48 = 9,756 : x
  2. Step 2: Convert to fraction form
    27,286.56/40,938.48 = 9,756/x
  3. Step 3: Cross multiply
    27,286.56x = 40,938.48 × 9,756
  4. Step 4: Simplify right side
    27,286.56x = 399,395,810.88
  5. Step 5: Solve for x
    x = 399,395,810.88/27,286.56
  6. Step 6: Final answer
    x = 14,637.09

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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.