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Finding the Fourth Proportional to 7,016.67, 9,683.01 and 3,872.88

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Solution

The fourth proportional to 7,016.67, 9,683.01 and 3,872.88 is: 5,344.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,016.67 : 9,683.01 = 3,872.88 : x
  2. Step 2: Convert to fraction form
    7,016.67/9,683.01 = 3,872.88/x
  3. Step 3: Cross multiply
    7,016.67x = 9,683.01 × 3,872.88
  4. Step 4: Simplify right side
    7,016.67x = 37,501,135.77
  5. Step 5: Solve for x
    x = 37,501,135.77/7,016.67
  6. Step 6: Final answer
    x = 5,344.58

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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.