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Finding the Fourth Proportional to 9,546.01, 13,174.22 and 5,297.88

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Solution

The fourth proportional to 9,546.01, 13,174.22 and 5,297.88 is: 7,311.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,546.01 : 13,174.22 = 5,297.88 : x
  2. Step 2: Convert to fraction form
    9,546.01/13,174.22 = 5,297.88/x
  3. Step 3: Cross multiply
    9,546.01x = 13,174.22 × 5,297.88
  4. Step 4: Simplify right side
    9,546.01x = 69,795,436.65
  5. Step 5: Solve for x
    x = 69,795,436.65/9,546.01
  6. Step 6: Final answer
    x = 7,311.48

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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.