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Finding the Fourth Proportional to 9,336.34, 12,884.30 and 5,144.59

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Solution

The fourth proportional to 9,336.34, 12,884.30 and 5,144.59 is: 7,099.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,336.34 : 12,884.30 = 5,144.59 : x
  2. Step 2: Convert to fraction form
    9,336.34/12,884.30 = 5,144.59/x
  3. Step 3: Cross multiply
    9,336.34x = 12,884.30 × 5,144.59
  4. Step 4: Simplify right side
    9,336.34x = 66,284,440.94
  5. Step 5: Solve for x
    x = 66,284,440.94/9,336.34
  6. Step 6: Final answer
    x = 7,099.62

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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.