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Finding the Fourth Proportional to 9,113.27, 13,673.90 and 3,194.42

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Solution

The fourth proportional to 9,113.27, 13,673.90 and 3,194.42 is: 4,793.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,113.27 : 13,673.90 = 3,194.42 : x
  2. Step 2: Convert to fraction form
    9,113.27/13,673.90 = 3,194.42/x
  3. Step 3: Cross multiply
    9,113.27x = 13,673.90 × 3,194.42
  4. Step 4: Simplify right side
    9,113.27x = 43,680,119.25
  5. Step 5: Solve for x
    x = 43,680,119.25/9,113.27
  6. Step 6: Final answer
    x = 4,793.03

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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.