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Finding the Fourth Proportional to 7,016.75, 9,683.25 and 3,872.87

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Solution

The fourth proportional to 7,016.75, 9,683.25 and 3,872.87 is: 5,344.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,016.75 : 9,683.25 = 3,872.87 : x
  2. Step 2: Convert to fraction form
    7,016.75/9,683.25 = 3,872.87/x
  3. Step 3: Cross multiply
    7,016.75x = 9,683.25 × 3,872.87
  4. Step 4: Simplify right side
    7,016.75x = 37,501,968.43
  5. Step 5: Solve for x
    x = 37,501,968.43/7,016.75
  6. Step 6: Final answer
    x = 5,344.64

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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.