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Finding the Fourth Proportional to 12,284.42, 16,951.95 and 6,979.73

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Solution

The fourth proportional to 12,284.42, 16,951.95 and 6,979.73 is: 9,631.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,284.42 : 16,951.95 = 6,979.73 : x
  2. Step 2: Convert to fraction form
    12,284.42/16,951.95 = 6,979.73/x
  3. Step 3: Cross multiply
    12,284.42x = 16,951.95 × 6,979.73
  4. Step 4: Simplify right side
    12,284.42x = 118,319,949.21
  5. Step 5: Solve for x
    x = 118,319,949.21/12,284.42
  6. Step 6: Final answer
    x = 9,631.71

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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.