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Finding the Fourth Proportional to 6,787.86, 9,366.97 and 3,955.38

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Solution

The fourth proportional to 6,787.86, 9,366.97 and 3,955.38 is: 5,458.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,787.86 : 9,366.97 = 3,955.38 : x
  2. Step 2: Convert to fraction form
    6,787.86/9,366.97 = 3,955.38/x
  3. Step 3: Cross multiply
    6,787.86x = 9,366.97 × 3,955.38
  4. Step 4: Simplify right side
    6,787.86x = 37,049,925.80
  5. Step 5: Solve for x
    x = 37,049,925.80/6,787.86
  6. Step 6: Final answer
    x = 5,458.26

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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.