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Finding the Fourth Proportional to 9,229.25, 13,843.74 and 4,296.13

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Solution

The fourth proportional to 9,229.25, 13,843.74 and 4,296.13 is: 6,444.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,229.25 : 13,843.74 = 4,296.13 : x
  2. Step 2: Convert to fraction form
    9,229.25/13,843.74 = 4,296.13/x
  3. Step 3: Cross multiply
    9,229.25x = 13,843.74 × 4,296.13
  4. Step 4: Simplify right side
    9,229.25x = 59,474,506.73
  5. Step 5: Solve for x
    x = 59,474,506.73/9,229.25
  6. Step 6: Final answer
    x = 6,444.13

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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.