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Finding the Fourth Proportional to 6,214.58, 9,309.56 and 4,024.84

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Solution

The fourth proportional to 6,214.58, 9,309.56 and 4,024.84 is: 6,029.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,214.58 : 9,309.56 = 4,024.84 : x
  2. Step 2: Convert to fraction form
    6,214.58/9,309.56 = 4,024.84/x
  3. Step 3: Cross multiply
    6,214.58x = 9,309.56 × 4,024.84
  4. Step 4: Simplify right side
    6,214.58x = 37,469,489.47
  5. Step 5: Solve for x
    x = 37,469,489.47/6,214.58
  6. Step 6: Final answer
    x = 6,029.29

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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.