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Finding the Fourth Proportional to 9,336.39, 12,884.19 and 5,144.64

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Solution

The fourth proportional to 9,336.39, 12,884.19 and 5,144.64 is: 7,099.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,336.39 : 12,884.19 = 5,144.64 : x
  2. Step 2: Convert to fraction form
    9,336.39/12,884.19 = 5,144.64/x
  3. Step 3: Cross multiply
    9,336.39x = 12,884.19 × 5,144.64
  4. Step 4: Simplify right side
    9,336.39x = 66,284,519.24
  5. Step 5: Solve for x
    x = 66,284,519.24/9,336.39
  6. Step 6: Final answer
    x = 7,099.59

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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.