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Finding the Fourth Proportional to 6,839.26, 9,438.89 and 4,188.43

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Solution

The fourth proportional to 6,839.26, 9,438.89 and 4,188.43 is: 5,780.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,839.26 : 9,438.89 = 4,188.43 : x
  2. Step 2: Convert to fraction form
    6,839.26/9,438.89 = 4,188.43/x
  3. Step 3: Cross multiply
    6,839.26x = 9,438.89 × 4,188.43
  4. Step 4: Simplify right side
    6,839.26x = 39,534,061.91
  5. Step 5: Solve for x
    x = 39,534,061.91/6,839.26
  6. Step 6: Final answer
    x = 5,780.46

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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.