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Finding the Fourth Proportional to 9,791.88, 14,662.56 and 6,494.64

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Solution

The fourth proportional to 9,791.88, 14,662.56 and 6,494.64 is: 9,725.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,791.88 : 14,662.56 = 6,494.64 : x
  2. Step 2: Convert to fraction form
    9,791.88/14,662.56 = 6,494.64/x
  3. Step 3: Cross multiply
    9,791.88x = 14,662.56 × 6,494.64
  4. Step 4: Simplify right side
    9,791.88x = 95,228,048.68
  5. Step 5: Solve for x
    x = 95,228,048.68/9,791.88
  6. Step 6: Final answer
    x = 9,725.21

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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.