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Finding the Fourth Proportional to 6,202.44, 9,289.08 and 4,449.60

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Solution

The fourth proportional to 6,202.44, 9,289.08 and 4,449.60 is: 6,663.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,202.44 : 9,289.08 = 4,449.60 : x
  2. Step 2: Convert to fraction form
    6,202.44/9,289.08 = 4,449.60/x
  3. Step 3: Cross multiply
    6,202.44x = 9,289.08 × 4,449.60
  4. Step 4: Simplify right side
    6,202.44x = 41,332,690.37
  5. Step 5: Solve for x
    x = 41,332,690.37/6,202.44
  6. Step 6: Final answer
    x = 6,663.94

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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.