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Finding the Fourth Proportional to 6,413.60, 9,618.48 and 3,333.92

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Solution

The fourth proportional to 6,413.60, 9,618.48 and 3,333.92 is: 4,999.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,413.60 : 9,618.48 = 3,333.92 : x
  2. Step 2: Convert to fraction form
    6,413.60/9,618.48 = 3,333.92/x
  3. Step 3: Cross multiply
    6,413.60x = 9,618.48 × 3,333.92
  4. Step 4: Simplify right side
    6,413.60x = 32,067,242.84
  5. Step 5: Solve for x
    x = 32,067,242.84/6,413.60
  6. Step 6: Final answer
    x = 4,999.88

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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.