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Finding the Fourth Proportional to 9,787.93, 14,684.15 and 3,213.97

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Solution

The fourth proportional to 9,787.93, 14,684.15 and 3,213.97 is: 4,821.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,787.93 : 14,684.15 = 3,213.97 : x
  2. Step 2: Convert to fraction form
    9,787.93/14,684.15 = 3,213.97/x
  3. Step 3: Cross multiply
    9,787.93x = 14,684.15 × 3,213.97
  4. Step 4: Simplify right side
    9,787.93x = 47,194,388.90
  5. Step 5: Solve for x
    x = 47,194,388.90/9,787.93
  6. Step 6: Final answer
    x = 4,821.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.