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Finding the Fourth Proportional to 9,472.88, 13,067.22 and 5,929.94

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Solution

The fourth proportional to 9,472.88, 13,067.22 and 5,929.94 is: 8,179.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,472.88 : 13,067.22 = 5,929.94 : x
  2. Step 2: Convert to fraction form
    9,472.88/13,067.22 = 5,929.94/x
  3. Step 3: Cross multiply
    9,472.88x = 13,067.22 × 5,929.94
  4. Step 4: Simplify right side
    9,472.88x = 77,487,765.23
  5. Step 5: Solve for x
    x = 77,487,765.23/9,472.88
  6. Step 6: Final answer
    x = 8,179.96

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1.5x scale

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.