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Finding the Fourth Proportional to 6,787.72, 9,371.64 and 4,398.40

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Solution

The fourth proportional to 6,787.72, 9,371.64 and 4,398.40 is: 6,072.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,787.72 : 9,371.64 = 4,398.40 : x
  2. Step 2: Convert to fraction form
    6,787.72/9,371.64 = 4,398.40/x
  3. Step 3: Cross multiply
    6,787.72x = 9,371.64 × 4,398.40
  4. Step 4: Simplify right side
    6,787.72x = 41,220,221.38
  5. Step 5: Solve for x
    x = 41,220,221.38/6,787.72
  6. Step 6: Final answer
    x = 6,072.76

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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.