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Finding the Fourth Proportional to 6,651.14, 9,178.70 and 3,819.40

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Solution

The fourth proportional to 6,651.14, 9,178.70 and 3,819.40 is: 5,270.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,651.14 : 9,178.70 = 3,819.40 : x
  2. Step 2: Convert to fraction form
    6,651.14/9,178.70 = 3,819.40/x
  3. Step 3: Cross multiply
    6,651.14x = 9,178.70 × 3,819.40
  4. Step 4: Simplify right side
    6,651.14x = 35,057,126.78
  5. Step 5: Solve for x
    x = 35,057,126.78/6,651.14
  6. Step 6: Final answer
    x = 5,270.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.