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Finding the Fourth Proportional to 6,651.49, 9,978.41 and 2,209.42

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Solution

The fourth proportional to 6,651.49, 9,978.41 and 2,209.42 is: 3,314.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,651.49 : 9,978.41 = 2,209.42 : x
  2. Step 2: Convert to fraction form
    6,651.49/9,978.41 = 2,209.42/x
  3. Step 3: Cross multiply
    6,651.49x = 9,978.41 × 2,209.42
  4. Step 4: Simplify right side
    6,651.49x = 22,046,498.62
  5. Step 5: Solve for x
    x = 22,046,498.62/6,651.49
  6. Step 6: Final answer
    x = 3,314.52

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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.