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Finding the Fourth Proportional to 6,186.60, 9,282.25 and 3,723.12

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Solution

The fourth proportional to 6,186.60, 9,282.25 and 3,723.12 is: 5,586.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,186.60 : 9,282.25 = 3,723.12 : x
  2. Step 2: Convert to fraction form
    6,186.60/9,282.25 = 3,723.12/x
  3. Step 3: Cross multiply
    6,186.60x = 9,282.25 × 3,723.12
  4. Step 4: Simplify right side
    6,186.60x = 34,558,930.62
  5. Step 5: Solve for x
    x = 34,558,930.62/6,186.60
  6. Step 6: Final answer
    x = 5,586.09

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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.