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Finding the Fourth Proportional to 6,202.01, 9,299.59 and 3,233.04

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Solution

The fourth proportional to 6,202.01, 9,299.59 and 3,233.04 is: 4,847.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,202.01 : 9,299.59 = 3,233.04 : x
  2. Step 2: Convert to fraction form
    6,202.01/9,299.59 = 3,233.04/x
  3. Step 3: Cross multiply
    6,202.01x = 9,299.59 × 3,233.04
  4. Step 4: Simplify right side
    6,202.01x = 30,065,946.45
  5. Step 5: Solve for x
    x = 30,065,946.45/6,202.01
  6. Step 6: Final answer
    x = 4,847.77

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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.