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Finding the Fourth Proportional to 6,202.42, 8,563.47 and 4,783.61

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Solution

The fourth proportional to 6,202.42, 8,563.47 and 4,783.61 is: 6,604.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,202.42 : 8,563.47 = 4,783.61 : x
  2. Step 2: Convert to fraction form
    6,202.42/8,563.47 = 4,783.61/x
  3. Step 3: Cross multiply
    6,202.42x = 8,563.47 × 4,783.61
  4. Step 4: Simplify right side
    6,202.42x = 40,964,282.94
  5. Step 5: Solve for x
    x = 40,964,282.94/6,202.42
  6. Step 6: Final answer
    x = 6,604.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.