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Finding the Fourth Proportional to 6,186.08, 9,267.17 and 3,847.02

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Solution

The fourth proportional to 6,186.08, 9,267.17 and 3,847.02 is: 5,763.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,186.08 : 9,267.17 = 3,847.02 : x
  2. Step 2: Convert to fraction form
    6,186.08/9,267.17 = 3,847.02/x
  3. Step 3: Cross multiply
    6,186.08x = 9,267.17 × 3,847.02
  4. Step 4: Simplify right side
    6,186.08x = 35,650,934.35
  5. Step 5: Solve for x
    x = 35,650,934.35/6,186.08
  6. Step 6: Final answer
    x = 5,763.09

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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.