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Finding the Fourth Proportional to 6,116.82, 9,178.17 and 3,343.38

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Solution

The fourth proportional to 6,116.82, 9,178.17 and 3,343.38 is: 5,016.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,116.82 : 9,178.17 = 3,343.38 : x
  2. Step 2: Convert to fraction form
    6,116.82/9,178.17 = 3,343.38/x
  3. Step 3: Cross multiply
    6,116.82x = 9,178.17 × 3,343.38
  4. Step 4: Simplify right side
    6,116.82x = 30,686,065.41
  5. Step 5: Solve for x
    x = 30,686,065.41/6,116.82
  6. Step 6: Final answer
    x = 5,016.67

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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.