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Finding the Fourth Proportional to 6,819.58, 9,370.24 and 5,419.90

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Solution

The fourth proportional to 6,819.58, 9,370.24 and 5,419.90 is: 7,447.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,819.58 : 9,370.24 = 5,419.90 : x
  2. Step 2: Convert to fraction form
    6,819.58/9,370.24 = 5,419.90/x
  3. Step 3: Cross multiply
    6,819.58x = 9,370.24 × 5,419.90
  4. Step 4: Simplify right side
    6,819.58x = 50,785,736.68
  5. Step 5: Solve for x
    x = 50,785,736.68/6,819.58
  6. Step 6: Final answer
    x = 7,447.05

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.