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Finding the Fourth Proportional to 6,213.58, 9,308.06 and 4,023.84

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Solution

The fourth proportional to 6,213.58, 9,308.06 and 4,023.84 is: 6,027.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,213.58 : 9,308.06 = 4,023.84 : x
  2. Step 2: Convert to fraction form
    6,213.58/9,308.06 = 4,023.84/x
  3. Step 3: Cross multiply
    6,213.58x = 9,308.06 × 4,023.84
  4. Step 4: Simplify right side
    6,213.58x = 37,454,144.15
  5. Step 5: Solve for x
    x = 37,454,144.15/6,213.58
  6. Step 6: Final answer
    x = 6,027.79

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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.