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Finding the Fourth Proportional to 6,202.88, 9,295.66 and 3,429.03

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Solution

The fourth proportional to 6,202.88, 9,295.66 and 3,429.03 is: 5,138.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,202.88 : 9,295.66 = 3,429.03 : x
  2. Step 2: Convert to fraction form
    6,202.88/9,295.66 = 3,429.03/x
  3. Step 3: Cross multiply
    6,202.88x = 9,295.66 × 3,429.03
  4. Step 4: Simplify right side
    6,202.88x = 31,875,136.15
  5. Step 5: Solve for x
    x = 31,875,136.15/6,202.88
  6. Step 6: Final answer
    x = 5,138.76

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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.