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Finding the Fourth Proportional to 6,297.24, 9,383.46 and 5,608.20

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Solution

The fourth proportional to 6,297.24, 9,383.46 and 5,608.20 is: 8,356.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,297.24 : 9,383.46 = 5,608.20 : x
  2. Step 2: Convert to fraction form
    6,297.24/9,383.46 = 5,608.20/x
  3. Step 3: Cross multiply
    6,297.24x = 9,383.46 × 5,608.20
  4. Step 4: Simplify right side
    6,297.24x = 52,624,320.37
  5. Step 5: Solve for x
    x = 52,624,320.37/6,297.24
  6. Step 6: Final answer
    x = 8,356.73

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.