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Finding the Fourth Proportional to 6,512.35, 9,773.76 and 3,393.28

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Solution

The fourth proportional to 6,512.35, 9,773.76 and 3,393.28 is: 5,092.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,512.35 : 9,773.76 = 3,393.28 : x
  2. Step 2: Convert to fraction form
    6,512.35/9,773.76 = 3,393.28/x
  3. Step 3: Cross multiply
    6,512.35x = 9,773.76 × 3,393.28
  4. Step 4: Simplify right side
    6,512.35x = 33,165,087.37
  5. Step 5: Solve for x
    x = 33,165,087.37/6,512.35
  6. Step 6: Final answer
    x = 5,092.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.