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Finding the Fourth Proportional to 6,199.17, 9,296.65 and 3,427.12

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Solution

The fourth proportional to 6,199.17, 9,296.65 and 3,427.12 is: 5,139.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,199.17 : 9,296.65 = 3,427.12 : x
  2. Step 2: Convert to fraction form
    6,199.17/9,296.65 = 3,427.12/x
  3. Step 3: Cross multiply
    6,199.17x = 9,296.65 × 3,427.12
  4. Step 4: Simplify right side
    6,199.17x = 31,860,735.15
  5. Step 5: Solve for x
    x = 31,860,735.15/6,199.17
  6. Step 6: Final answer
    x = 5,139.52

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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.