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Finding the Fourth Proportional to 6,616.20, 9,902.70 and 5,147.40

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Solution

The fourth proportional to 6,616.20, 9,902.70 and 5,147.40 is: 7,704.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,616.20 : 9,902.70 = 5,147.40 : x
  2. Step 2: Convert to fraction form
    6,616.20/9,902.70 = 5,147.40/x
  3. Step 3: Cross multiply
    6,616.20x = 9,902.70 × 5,147.40
  4. Step 4: Simplify right side
    6,616.20x = 50,973,157.98
  5. Step 5: Solve for x
    x = 50,973,157.98/6,616.20
  6. Step 6: Final answer
    x = 7,704.30

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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.