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Finding the Fourth Proportional to 6,801.87, 9,385.83 and 3,817.02

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Solution

The fourth proportional to 6,801.87, 9,385.83 and 3,817.02 is: 5,267.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,801.87 : 9,385.83 = 3,817.02 : x
  2. Step 2: Convert to fraction form
    6,801.87/9,385.83 = 3,817.02/x
  3. Step 3: Cross multiply
    6,801.87x = 9,385.83 × 3,817.02
  4. Step 4: Simplify right side
    6,801.87x = 35,825,900.83
  5. Step 5: Solve for x
    x = 35,825,900.83/6,801.87
  6. Step 6: Final answer
    x = 5,267.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.