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Finding the Fourth Proportional to 8,771.44, 13,163.64 and 6,584.44

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Solution

The fourth proportional to 8,771.44, 13,163.64 and 6,584.44 is: 9,881.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,771.44 : 13,163.64 = 6,584.44 : x
  2. Step 2: Convert to fraction form
    8,771.44/13,163.64 = 6,584.44/x
  3. Step 3: Cross multiply
    8,771.44x = 13,163.64 × 6,584.44
  4. Step 4: Simplify right side
    8,771.44x = 86,675,197.76
  5. Step 5: Solve for x
    x = 86,675,197.76/8,771.44
  6. Step 6: Final answer
    x = 9,881.52

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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.