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Finding the Fourth Proportional to 6,286.79, 9,415.83 and 3,002.20

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Solution

The fourth proportional to 6,286.79, 9,415.83 and 3,002.20 is: 4,496.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,286.79 : 9,415.83 = 3,002.20 : x
  2. Step 2: Convert to fraction form
    6,286.79/9,415.83 = 3,002.20/x
  3. Step 3: Cross multiply
    6,286.79x = 9,415.83 × 3,002.20
  4. Step 4: Simplify right side
    6,286.79x = 28,268,157.75
  5. Step 5: Solve for x
    x = 28,268,157.75/6,286.79
  6. Step 6: Final answer
    x = 4,496.44

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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.