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Finding the Fourth Proportional to 6,201.62, 9,303.60 and 3,994.82

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Solution

The fourth proportional to 6,201.62, 9,303.60 and 3,994.82 is: 5,992.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,201.62 : 9,303.60 = 3,994.82 : x
  2. Step 2: Convert to fraction form
    6,201.62/9,303.60 = 3,994.82/x
  3. Step 3: Cross multiply
    6,201.62x = 9,303.60 × 3,994.82
  4. Step 4: Simplify right side
    6,201.62x = 37,166,207.35
  5. Step 5: Solve for x
    x = 37,166,207.35/6,201.62
  6. Step 6: Final answer
    x = 5,992.98

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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.