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Finding the Fourth Proportional to 6,380.96, 9,574.18 and 2,218.70

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Solution

The fourth proportional to 6,380.96, 9,574.18 and 2,218.70 is: 3,328.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,380.96 : 9,574.18 = 2,218.70 : x
  2. Step 2: Convert to fraction form
    6,380.96/9,574.18 = 2,218.70/x
  3. Step 3: Cross multiply
    6,380.96x = 9,574.18 × 2,218.70
  4. Step 4: Simplify right side
    6,380.96x = 21,242,179.75
  5. Step 5: Solve for x
    x = 21,242,179.75/6,380.96
  6. Step 6: Final answer
    x = 3,328.99

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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.