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Finding the Fourth Proportional to 9,234.69, 13,843.82 and 3,389.94

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Solution

The fourth proportional to 9,234.69, 13,843.82 and 3,389.94 is: 5,081.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,234.69 : 13,843.82 = 3,389.94 : x
  2. Step 2: Convert to fraction form
    9,234.69/13,843.82 = 3,389.94/x
  3. Step 3: Cross multiply
    9,234.69x = 13,843.82 × 3,389.94
  4. Step 4: Simplify right side
    9,234.69x = 46,929,702.22
  5. Step 5: Solve for x
    x = 46,929,702.22/9,234.69
  6. Step 6: Final answer
    x = 5,081.89

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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.