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Finding the Fourth Proportional to 6,787.95, 9,367.50 and 3,803.78

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Solution

The fourth proportional to 6,787.95, 9,367.50 and 3,803.78 is: 5,249.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,787.95 : 9,367.50 = 3,803.78 : x
  2. Step 2: Convert to fraction form
    6,787.95/9,367.50 = 3,803.78/x
  3. Step 3: Cross multiply
    6,787.95x = 9,367.50 × 3,803.78
  4. Step 4: Simplify right side
    6,787.95x = 35,631,862.31
  5. Step 5: Solve for x
    x = 35,631,862.31/6,787.95
  6. Step 6: Final answer
    x = 5,249.28

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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.