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Finding the Fourth Proportional to 6,274.20, 9,414.48 and 2,986.68

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Solution

The fourth proportional to 6,274.20, 9,414.48 and 2,986.68 is: 4,481.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,274.20 : 9,414.48 = 2,986.68 : x
  2. Step 2: Convert to fraction form
    6,274.20/9,414.48 = 2,986.68/x
  3. Step 3: Cross multiply
    6,274.20x = 9,414.48 × 2,986.68
  4. Step 4: Simplify right side
    6,274.20x = 28,118,039.13
  5. Step 5: Solve for x
    x = 28,118,039.13/6,274.20
  6. Step 6: Final answer
    x = 4,481.53

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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.