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Finding the Fourth Proportional to 9,234.30, 13,843.24 and 3,389.55

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Solution

The fourth proportional to 9,234.30, 13,843.24 and 3,389.55 is: 5,081.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,234.30 : 13,843.24 = 3,389.55 : x
  2. Step 2: Convert to fraction form
    9,234.30/13,843.24 = 3,389.55/x
  3. Step 3: Cross multiply
    9,234.30x = 13,843.24 × 3,389.55
  4. Step 4: Simplify right side
    9,234.30x = 46,922,293.76
  5. Step 5: Solve for x
    x = 46,922,293.76/9,234.30
  6. Step 6: Final answer
    x = 5,081.30

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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.