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Finding the Fourth Proportional to 6,280.84, 9,414.78 and 2,816.20

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Solution

The fourth proportional to 6,280.84, 9,414.78 and 2,816.20 is: 4,221.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,280.84 : 9,414.78 = 2,816.20 : x
  2. Step 2: Convert to fraction form
    6,280.84/9,414.78 = 2,816.20/x
  3. Step 3: Cross multiply
    6,280.84x = 9,414.78 × 2,816.20
  4. Step 4: Simplify right side
    6,280.84x = 26,513,903.44
  5. Step 5: Solve for x
    x = 26,513,903.44/6,280.84
  6. Step 6: Final answer
    x = 4,221.39

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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.