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Finding the Fourth Proportional to 9,336.40, 12,884.12 and 5,144.56

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Solution

The fourth proportional to 9,336.40, 12,884.12 and 5,144.56 is: 7,099.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,336.40 : 12,884.12 = 5,144.56 : x
  2. Step 2: Convert to fraction form
    9,336.40/12,884.12 = 5,144.56/x
  3. Step 3: Cross multiply
    9,336.40x = 12,884.12 × 5,144.56
  4. Step 4: Simplify right side
    9,336.40x = 66,283,128.39
  5. Step 5: Solve for x
    x = 66,283,128.39/9,336.40
  6. Step 6: Final answer
    x = 7,099.43

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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.