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Finding the Fourth Proportional to 6,915.14, 9,540.66 and 4,083.47

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Solution

The fourth proportional to 6,915.14, 9,540.66 and 4,083.47 is: 5,633.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,915.14 : 9,540.66 = 4,083.47 : x
  2. Step 2: Convert to fraction form
    6,915.14/9,540.66 = 4,083.47/x
  3. Step 3: Cross multiply
    6,915.14x = 9,540.66 × 4,083.47
  4. Step 4: Simplify right side
    6,915.14x = 38,958,998.89
  5. Step 5: Solve for x
    x = 38,958,998.89/6,915.14
  6. Step 6: Final answer
    x = 5,633.87

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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.