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Finding the Fourth Proportional to 9,227.70, 13,843.35 and 3,384.81

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Solution

The fourth proportional to 9,227.70, 13,843.35 and 3,384.81 is: 5,077.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,227.70 : 13,843.35 = 3,384.81 : x
  2. Step 2: Convert to fraction form
    9,227.70/13,843.35 = 3,384.81/x
  3. Step 3: Cross multiply
    9,227.70x = 13,843.35 × 3,384.81
  4. Step 4: Simplify right side
    9,227.70x = 46,857,109.51
  5. Step 5: Solve for x
    x = 46,857,109.51/9,227.70
  6. Step 6: Final answer
    x = 5,077.88

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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.