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Finding the Fourth Proportional to 6,380.39, 9,573.83 and 2,869.69

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Solution

The fourth proportional to 6,380.39, 9,573.83 and 2,869.69 is: 4,305.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,380.39 : 9,573.83 = 2,869.69 : x
  2. Step 2: Convert to fraction form
    6,380.39/9,573.83 = 2,869.69/x
  3. Step 3: Cross multiply
    6,380.39x = 9,573.83 × 2,869.69
  4. Step 4: Simplify right side
    6,380.39x = 27,473,914.64
  5. Step 5: Solve for x
    x = 27,473,914.64/6,380.39
  6. Step 6: Final answer
    x = 4,305.99

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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.