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Finding the Fourth Proportional to 8,884.68, 12,273.30 and 6,413.64

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Solution

The fourth proportional to 8,884.68, 12,273.30 and 6,413.64 is: 8,859.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,884.68 : 12,273.30 = 6,413.64 : x
  2. Step 2: Convert to fraction form
    8,884.68/12,273.30 = 6,413.64/x
  3. Step 3: Cross multiply
    8,884.68x = 12,273.30 × 6,413.64
  4. Step 4: Simplify right side
    8,884.68x = 78,716,527.81
  5. Step 5: Solve for x
    x = 78,716,527.81/8,884.68
  6. Step 6: Final answer
    x = 8,859.80

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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.