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Finding the Fourth Proportional to 6,197.29, 9,297.75 and 3,277.64

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Solution

The fourth proportional to 6,197.29, 9,297.75 and 3,277.64 is: 4,917.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,197.29 : 9,297.75 = 3,277.64 : x
  2. Step 2: Convert to fraction form
    6,197.29/9,297.75 = 3,277.64/x
  3. Step 3: Cross multiply
    6,197.29x = 9,297.75 × 3,277.64
  4. Step 4: Simplify right side
    6,197.29x = 30,474,677.31
  5. Step 5: Solve for x
    x = 30,474,677.31/6,197.29
  6. Step 6: Final answer
    x = 4,917.42

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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.