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Finding the Fourth Proportional to 6,218.49, 9,318.62 and 4,651.14

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Solution

The fourth proportional to 6,218.49, 9,318.62 and 4,651.14 is: 6,969.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,218.49 : 9,318.62 = 4,651.14 : x
  2. Step 2: Convert to fraction form
    6,218.49/9,318.62 = 4,651.14/x
  3. Step 3: Cross multiply
    6,218.49x = 9,318.62 × 4,651.14
  4. Step 4: Simplify right side
    6,218.49x = 43,342,217.85
  5. Step 5: Solve for x
    x = 43,342,217.85/6,218.49
  6. Step 6: Final answer
    x = 6,969.89

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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.