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Finding the Fourth Proportional to 12,642.62, 18,951.29 and 6,383.70

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Solution

The fourth proportional to 12,642.62, 18,951.29 and 6,383.70 is: 9,569.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,642.62 : 18,951.29 = 6,383.70 : x
  2. Step 2: Convert to fraction form
    12,642.62/18,951.29 = 6,383.70/x
  3. Step 3: Cross multiply
    12,642.62x = 18,951.29 × 6,383.70
  4. Step 4: Simplify right side
    12,642.62x = 120,979,413.25
  5. Step 5: Solve for x
    x = 120,979,413.25/12,642.62
  6. Step 6: Final answer
    x = 9,569.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.