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Finding the Fourth Proportional to 6,186.30, 9,294.66 and 3,966.09

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Solution

The fourth proportional to 6,186.30, 9,294.66 and 3,966.09 is: 5,958.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,186.30 : 9,294.66 = 3,966.09 : x
  2. Step 2: Convert to fraction form
    6,186.30/9,294.66 = 3,966.09/x
  3. Step 3: Cross multiply
    6,186.30x = 9,294.66 × 3,966.09
  4. Step 4: Simplify right side
    6,186.30x = 36,863,458.08
  5. Step 5: Solve for x
    x = 36,863,458.08/6,186.30
  6. Step 6: Final answer
    x = 5,958.89

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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.