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Finding the Fourth Proportional to 9,227.83, 13,843.57 and 3,384.49

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Solution

The fourth proportional to 9,227.83, 13,843.57 and 3,384.49 is: 5,077.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,227.83 : 13,843.57 = 3,384.49 : x
  2. Step 2: Convert to fraction form
    9,227.83/13,843.57 = 3,384.49/x
  3. Step 3: Cross multiply
    9,227.83x = 13,843.57 × 3,384.49
  4. Step 4: Simplify right side
    9,227.83x = 46,853,400.77
  5. Step 5: Solve for x
    x = 46,853,400.77/9,227.83
  6. Step 6: Final answer
    x = 5,077.40

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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.