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Finding the Fourth Proportional to 6,413.84, 9,631.74 and 3,963.20

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Solution

The fourth proportional to 6,413.84, 9,631.74 and 3,963.20 is: 5,951.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,413.84 : 9,631.74 = 3,963.20 : x
  2. Step 2: Convert to fraction form
    6,413.84/9,631.74 = 3,963.20/x
  3. Step 3: Cross multiply
    6,413.84x = 9,631.74 × 3,963.20
  4. Step 4: Simplify right side
    6,413.84x = 38,172,511.97
  5. Step 5: Solve for x
    x = 38,172,511.97/6,413.84
  6. Step 6: Final answer
    x = 5,951.58

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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.