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Finding the Fourth Proportional to 9,917.27, 13,688.21 and 6,735.87

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Solution

The fourth proportional to 9,917.27, 13,688.21 and 6,735.87 is: 9,297.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,917.27 : 13,688.21 = 6,735.87 : x
  2. Step 2: Convert to fraction form
    9,917.27/13,688.21 = 6,735.87/x
  3. Step 3: Cross multiply
    9,917.27x = 13,688.21 × 6,735.87
  4. Step 4: Simplify right side
    9,917.27x = 92,202,003.09
  5. Step 5: Solve for x
    x = 92,202,003.09/9,917.27
  6. Step 6: Final answer
    x = 9,297.12

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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.