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Finding the Fourth Proportional to 9,227.55, 13,843.14 and 3,384.21

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Solution

The fourth proportional to 9,227.55, 13,843.14 and 3,384.21 is: 5,076.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,227.55 : 13,843.14 = 3,384.21 : x
  2. Step 2: Convert to fraction form
    9,227.55/13,843.14 = 3,384.21/x
  3. Step 3: Cross multiply
    9,227.55x = 13,843.14 × 3,384.21
  4. Step 4: Simplify right side
    9,227.55x = 46,848,079.55
  5. Step 5: Solve for x
    x = 46,848,079.55/9,227.55
  6. Step 6: Final answer
    x = 5,076.98

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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.