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Finding the Fourth Proportional to 8,336.36, 12,493.60 and 6,134.78

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Solution

The fourth proportional to 8,336.36, 12,493.60 and 6,134.78 is: 9,194.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,336.36 : 12,493.60 = 6,134.78 : x
  2. Step 2: Convert to fraction form
    8,336.36/12,493.60 = 6,134.78/x
  3. Step 3: Cross multiply
    8,336.36x = 12,493.60 × 6,134.78
  4. Step 4: Simplify right side
    8,336.36x = 76,645,487.41
  5. Step 5: Solve for x
    x = 76,645,487.41/8,336.36
  6. Step 6: Final answer
    x = 9,194.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.