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Finding the Fourth Proportional to 9,336.35, 12,884.16 and 5,144.60

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Solution

The fourth proportional to 9,336.35, 12,884.16 and 5,144.60 is: 7,099.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,336.35 : 12,884.16 = 5,144.60 : x
  2. Step 2: Convert to fraction form
    9,336.35/12,884.16 = 5,144.60/x
  3. Step 3: Cross multiply
    9,336.35x = 12,884.16 × 5,144.60
  4. Step 4: Simplify right side
    9,336.35x = 66,283,849.54
  5. Step 5: Solve for x
    x = 66,283,849.54/9,336.35
  6. Step 6: Final answer
    x = 7,099.55

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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.