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Finding the Fourth Proportional to 6,185.97, 9,262.35 and 5,201.82

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Solution

The fourth proportional to 6,185.97, 9,262.35 and 5,201.82 is: 7,788.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,185.97 : 9,262.35 = 5,201.82 : x
  2. Step 2: Convert to fraction form
    6,185.97/9,262.35 = 5,201.82/x
  3. Step 3: Cross multiply
    6,185.97x = 9,262.35 × 5,201.82
  4. Step 4: Simplify right side
    6,185.97x = 48,181,077.48
  5. Step 5: Solve for x
    x = 48,181,077.48/6,185.97
  6. Step 6: Final answer
    x = 7,788.77

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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.