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Finding the Fourth Proportional to 9,336.76, 12,884.22 and 5,144.68

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Solution

The fourth proportional to 9,336.76, 12,884.22 and 5,144.68 is: 7,099.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,336.76 : 12,884.22 = 5,144.68 : x
  2. Step 2: Convert to fraction form
    9,336.76/12,884.22 = 5,144.68/x
  3. Step 3: Cross multiply
    9,336.76x = 12,884.22 × 5,144.68
  4. Step 4: Simplify right side
    9,336.76x = 66,285,188.95
  5. Step 5: Solve for x
    x = 66,285,188.95/9,336.76
  6. Step 6: Final answer
    x = 7,099.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.