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Finding the Fourth Proportional to 9,481.50, 13,084.47 and 5,449.05

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Solution

The fourth proportional to 9,481.50, 13,084.47 and 5,449.05 is: 7,519.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,481.50 : 13,084.47 = 5,449.05 : x
  2. Step 2: Convert to fraction form
    9,481.50/13,084.47 = 5,449.05/x
  3. Step 3: Cross multiply
    9,481.50x = 13,084.47 × 5,449.05
  4. Step 4: Simplify right side
    9,481.50x = 71,297,931.25
  5. Step 5: Solve for x
    x = 71,297,931.25/9,481.50
  6. Step 6: Final answer
    x = 7,519.69

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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.