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Finding the Fourth Proportional to 6,813.17, 9,400.96 and 3,787.95

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Solution

The fourth proportional to 6,813.17, 9,400.96 and 3,787.95 is: 5,226.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,813.17 : 9,400.96 = 3,787.95 : x
  2. Step 2: Convert to fraction form
    6,813.17/9,400.96 = 3,787.95/x
  3. Step 3: Cross multiply
    6,813.17x = 9,400.96 × 3,787.95
  4. Step 4: Simplify right side
    6,813.17x = 35,610,366.43
  5. Step 5: Solve for x
    x = 35,610,366.43/6,813.17
  6. Step 6: Final answer
    x = 5,226.70

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Why These Related Problems?

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