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Finding the Fourth Proportional to 9,184.43, 13,767.90 and 2,940.42

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Solution

The fourth proportional to 9,184.43, 13,767.90 and 2,940.42 is: 4,407.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,184.43 : 13,767.90 = 2,940.42 : x
  2. Step 2: Convert to fraction form
    9,184.43/13,767.90 = 2,940.42/x
  3. Step 3: Cross multiply
    9,184.43x = 13,767.90 × 2,940.42
  4. Step 4: Simplify right side
    9,184.43x = 40,483,408.52
  5. Step 5: Solve for x
    x = 40,483,408.52/9,184.43
  6. Step 6: Final answer
    x = 4,407.83

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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.