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Finding the Fourth Proportional to 6,801.87, 9,387.07 and 3,777.15

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Solution

The fourth proportional to 6,801.87, 9,387.07 and 3,777.15 is: 5,212.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,801.87 : 9,387.07 = 3,777.15 : x
  2. Step 2: Convert to fraction form
    6,801.87/9,387.07 = 3,777.15/x
  3. Step 3: Cross multiply
    6,801.87x = 9,387.07 × 3,777.15
  4. Step 4: Simplify right side
    6,801.87x = 35,456,362.01
  5. Step 5: Solve for x
    x = 35,456,362.01/6,801.87
  6. Step 6: Final answer
    x = 5,212.74

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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.