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Finding the Fourth Proportional to 6,413.21, 9,606.31 and 3,283.70

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Solution

The fourth proportional to 6,413.21, 9,606.31 and 3,283.70 is: 4,918.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,413.21 : 9,606.31 = 3,283.70 : x
  2. Step 2: Convert to fraction form
    6,413.21/9,606.31 = 3,283.70/x
  3. Step 3: Cross multiply
    6,413.21x = 9,606.31 × 3,283.70
  4. Step 4: Simplify right side
    6,413.21x = 31,544,223.73
  5. Step 5: Solve for x
    x = 31,544,223.73/6,413.21
  6. Step 6: Final answer
    x = 4,918.64

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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.