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Finding the Fourth Proportional to 6,206.90, 9,310.34 and 4,014.43

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Solution

The fourth proportional to 6,206.90, 9,310.34 and 4,014.43 is: 6,021.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,206.90 : 9,310.34 = 4,014.43 : x
  2. Step 2: Convert to fraction form
    6,206.90/9,310.34 = 4,014.43/x
  3. Step 3: Cross multiply
    6,206.90x = 9,310.34 × 4,014.43
  4. Step 4: Simplify right side
    6,206.90x = 37,375,694.97
  5. Step 5: Solve for x
    x = 37,375,694.97/6,206.90
  6. Step 6: Final answer
    x = 6,021.64

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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.