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Finding the Fourth Proportional to 9,662.21, 13,333.74 and 5,413.31

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Solution

The fourth proportional to 9,662.21, 13,333.74 and 5,413.31 is: 7,470.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,662.21 : 13,333.74 = 5,413.31 : x
  2. Step 2: Convert to fraction form
    9,662.21/13,333.74 = 5,413.31/x
  3. Step 3: Cross multiply
    9,662.21x = 13,333.74 × 5,413.31
  4. Step 4: Simplify right side
    9,662.21x = 72,179,601.41
  5. Step 5: Solve for x
    x = 72,179,601.41/9,662.21
  6. Step 6: Final answer
    x = 7,470.30

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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.