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Finding the Fourth Proportional to 9,229.26, 13,843.74 and 4,296.12

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Solution

The fourth proportional to 9,229.26, 13,843.74 and 4,296.12 is: 6,444.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,229.26 : 13,843.74 = 4,296.12 : x
  2. Step 2: Convert to fraction form
    9,229.26/13,843.74 = 4,296.12/x
  3. Step 3: Cross multiply
    9,229.26x = 13,843.74 × 4,296.12
  4. Step 4: Simplify right side
    9,229.26x = 59,474,368.29
  5. Step 5: Solve for x
    x = 59,474,368.29/9,229.26
  6. Step 6: Final answer
    x = 6,444.11

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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.