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Finding the Fourth Proportional to 9,194.58, 12,691.13 and 5,419.94

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Solution

The fourth proportional to 9,194.58, 12,691.13 and 5,419.94 is: 7,481.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,194.58 : 12,691.13 = 5,419.94 : x
  2. Step 2: Convert to fraction form
    9,194.58/12,691.13 = 5,419.94/x
  3. Step 3: Cross multiply
    9,194.58x = 12,691.13 × 5,419.94
  4. Step 4: Simplify right side
    9,194.58x = 68,785,072.58
  5. Step 5: Solve for x
    x = 68,785,072.58/9,194.58
  6. Step 6: Final answer
    x = 7,481.05

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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.