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Finding the Fourth Proportional to 6,559.42, 9,832.17 and 4,474.25

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Solution

The fourth proportional to 6,559.42, 9,832.17 and 4,474.25 is: 6,706.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,559.42 : 9,832.17 = 4,474.25 : x
  2. Step 2: Convert to fraction form
    6,559.42/9,832.17 = 4,474.25/x
  3. Step 3: Cross multiply
    6,559.42x = 9,832.17 × 4,474.25
  4. Step 4: Simplify right side
    6,559.42x = 43,991,586.62
  5. Step 5: Solve for x
    x = 43,991,586.62/6,559.42
  6. Step 6: Final answer
    x = 6,706.63

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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.