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Finding the Fourth Proportional to 9,662.59, 13,334.76 and 5,413.69

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Solution

The fourth proportional to 9,662.59, 13,334.76 and 5,413.69 is: 7,471.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,662.59 : 13,334.76 = 5,413.69 : x
  2. Step 2: Convert to fraction form
    9,662.59/13,334.76 = 5,413.69/x
  3. Step 3: Cross multiply
    9,662.59x = 13,334.76 × 5,413.69
  4. Step 4: Simplify right side
    9,662.59x = 72,190,243.58
  5. Step 5: Solve for x
    x = 72,190,243.58/9,662.59
  6. Step 6: Final answer
    x = 7,471.11

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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.