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Finding the Fourth Proportional to 6,144.80, 9,217.20 and 2,864.30

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Solution

The fourth proportional to 6,144.80, 9,217.20 and 2,864.30 is: 4,296.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,144.80 : 9,217.20 = 2,864.30 : x
  2. Step 2: Convert to fraction form
    6,144.80/9,217.20 = 2,864.30/x
  3. Step 3: Cross multiply
    6,144.80x = 9,217.20 × 2,864.30
  4. Step 4: Simplify right side
    6,144.80x = 26,400,825.96
  5. Step 5: Solve for x
    x = 26,400,825.96/6,144.80
  6. Step 6: Final answer
    x = 4,296.45

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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.