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Finding the Fourth Proportional to 7,771.97, 11,641.46 and 6,284.81

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Solution

The fourth proportional to 7,771.97, 11,641.46 and 6,284.81 is: 9,413.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,771.97 : 11,641.46 = 6,284.81 : x
  2. Step 2: Convert to fraction form
    7,771.97/11,641.46 = 6,284.81/x
  3. Step 3: Cross multiply
    7,771.97x = 11,641.46 × 6,284.81
  4. Step 4: Simplify right side
    7,771.97x = 73,164,274.59
  5. Step 5: Solve for x
    x = 73,164,274.59/7,771.97
  6. Step 6: Final answer
    x = 9,413.87

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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.