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Finding the Fourth Proportional to 9,843.90, 13,584.60 and 5,367.62

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Solution

The fourth proportional to 9,843.90, 13,584.60 and 5,367.62 is: 7,407.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,843.90 : 13,584.60 = 5,367.62 : x
  2. Step 2: Convert to fraction form
    9,843.90/13,584.60 = 5,367.62/x
  3. Step 3: Cross multiply
    9,843.90x = 13,584.60 × 5,367.62
  4. Step 4: Simplify right side
    9,843.90x = 72,916,902.73
  5. Step 5: Solve for x
    x = 72,916,902.73/9,843.90
  6. Step 6: Final answer
    x = 7,407.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.