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Finding the Fourth Proportional to 6,747.40, 9,292.26 and 5,796.28

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Solution

The fourth proportional to 6,747.40, 9,292.26 and 5,796.28 is: 7,982.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,747.40 : 9,292.26 = 5,796.28 : x
  2. Step 2: Convert to fraction form
    6,747.40/9,292.26 = 5,796.28/x
  3. Step 3: Cross multiply
    6,747.40x = 9,292.26 × 5,796.28
  4. Step 4: Simplify right side
    6,747.40x = 53,860,540.79
  5. Step 5: Solve for x
    x = 53,860,540.79/6,747.40
  6. Step 6: Final answer
    x = 7,982.41

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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.