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Finding the Fourth Proportional to 6,286.89, 9,413.82 and 4,427.94

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Solution

The fourth proportional to 6,286.89, 9,413.82 and 4,427.94 is: 6,630.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,286.89 : 9,413.82 = 4,427.94 : x
  2. Step 2: Convert to fraction form
    6,286.89/9,413.82 = 4,427.94/x
  3. Step 3: Cross multiply
    6,286.89x = 9,413.82 × 4,427.94
  4. Step 4: Simplify right side
    6,286.89x = 41,683,830.13
  5. Step 5: Solve for x
    x = 41,683,830.13/6,286.89
  6. Step 6: Final answer
    x = 6,630.28

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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.