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Finding the Fourth Proportional to 12,238.91, 16,889.65 and 6,934.73

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Solution

The fourth proportional to 12,238.91, 16,889.65 and 6,934.73 is: 9,569.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,238.91 : 16,889.65 = 6,934.73 : x
  2. Step 2: Convert to fraction form
    12,238.91/16,889.65 = 6,934.73/x
  3. Step 3: Cross multiply
    12,238.91x = 16,889.65 × 6,934.73
  4. Step 4: Simplify right side
    12,238.91x = 117,125,187.43
  5. Step 5: Solve for x
    x = 117,125,187.43/12,238.91
  6. Step 6: Final answer
    x = 9,569.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.