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Finding the Fourth Proportional to 9,189, 13,781.63 and 2,613.42

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Solution

The fourth proportional to 9,189, 13,781.63 and 2,613.42 is: 3,919.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,189 : 13,781.63 = 2,613.42 : x
  2. Step 2: Convert to fraction form
    9,189/13,781.63 = 2,613.42/x
  3. Step 3: Cross multiply
    9,189x = 13,781.63 × 2,613.42
  4. Step 4: Simplify right side
    9,189x = 36,017,174.41
  5. Step 5: Solve for x
    x = 36,017,174.41/9,189
  6. Step 6: Final answer
    x = 3,919.60

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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.