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Finding the Fourth Proportional to 9,163.14, 12,648.18 and 6,518.22

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Solution

The fourth proportional to 9,163.14, 12,648.18 and 6,518.22 is: 8,997.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,163.14 : 12,648.18 = 6,518.22 : x
  2. Step 2: Convert to fraction form
    9,163.14/12,648.18 = 6,518.22/x
  3. Step 3: Cross multiply
    9,163.14x = 12,648.18 × 6,518.22
  4. Step 4: Simplify right side
    9,163.14x = 82,443,619.84
  5. Step 5: Solve for x
    x = 82,443,619.84/9,163.14
  6. Step 6: Final answer
    x = 8,997.31

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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.