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Finding the Fourth Proportional to 9,546.64, 13,174.44 and 5,297.72

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Solution

The fourth proportional to 9,546.64, 13,174.44 and 5,297.72 is: 7,310.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,546.64 : 13,174.44 = 5,297.72 : x
  2. Step 2: Convert to fraction form
    9,546.64/13,174.44 = 5,297.72/x
  3. Step 3: Cross multiply
    9,546.64x = 13,174.44 × 5,297.72
  4. Step 4: Simplify right side
    9,546.64x = 69,794,494.28
  5. Step 5: Solve for x
    x = 69,794,494.28/9,546.64
  6. Step 6: Final answer
    x = 7,310.90

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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.