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Finding the Fourth Proportional to 9,796, 14,694.90 and 3,872.56

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Solution

The fourth proportional to 9,796, 14,694.90 and 3,872.56 is: 5,809.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,796 : 14,694.90 = 3,872.56 : x
  2. Step 2: Convert to fraction form
    9,796/14,694.90 = 3,872.56/x
  3. Step 3: Cross multiply
    9,796x = 14,694.90 × 3,872.56
  4. Step 4: Simplify right side
    9,796x = 56,906,881.94
  5. Step 5: Solve for x
    x = 56,906,881.94/9,796
  6. Step 6: Final answer
    x = 5,809.20

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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.