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Finding the Fourth Proportional to 6,819.39, 9,405.72 and 4,164.62

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Solution

The fourth proportional to 6,819.39, 9,405.72 and 4,164.62 is: 5,744.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,819.39 : 9,405.72 = 4,164.62 : x
  2. Step 2: Convert to fraction form
    6,819.39/9,405.72 = 4,164.62/x
  3. Step 3: Cross multiply
    6,819.39x = 9,405.72 × 4,164.62
  4. Step 4: Simplify right side
    6,819.39x = 39,171,202.60
  5. Step 5: Solve for x
    x = 39,171,202.60/6,819.39
  6. Step 6: Final answer
    x = 5,744.09

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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.