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Finding the Fourth Proportional to 6,786.43, 9,365.97 and 3,915.27

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Solution

The fourth proportional to 6,786.43, 9,365.97 and 3,915.27 is: 5,403.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,786.43 : 9,365.97 = 3,915.27 : x
  2. Step 2: Convert to fraction form
    6,786.43/9,365.97 = 3,915.27/x
  3. Step 3: Cross multiply
    6,786.43x = 9,365.97 × 3,915.27
  4. Step 4: Simplify right side
    6,786.43x = 36,670,301.36
  5. Step 5: Solve for x
    x = 36,670,301.36/6,786.43
  6. Step 6: Final answer
    x = 5,403.47

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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.