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Finding the Fourth Proportional to 6,133.62, 9,199.96 and 2,184.73

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Solution

The fourth proportional to 6,133.62, 9,199.96 and 2,184.73 is: 3,276.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,133.62 : 9,199.96 = 2,184.73 : x
  2. Step 2: Convert to fraction form
    6,133.62/9,199.96 = 2,184.73/x
  3. Step 3: Cross multiply
    6,133.62x = 9,199.96 × 2,184.73
  4. Step 4: Simplify right side
    6,133.62x = 20,099,400.15
  5. Step 5: Solve for x
    x = 20,099,400.15/6,133.62
  6. Step 6: Final answer
    x = 3,276.92

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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.