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Finding the Fourth Proportional to 9,546.56, 13,165.44 and 6,361.64

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Solution

The fourth proportional to 9,546.56, 13,165.44 and 6,361.64 is: 8,773.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,546.56 : 13,165.44 = 6,361.64 : x
  2. Step 2: Convert to fraction form
    9,546.56/13,165.44 = 6,361.64/x
  3. Step 3: Cross multiply
    9,546.56x = 13,165.44 × 6,361.64
  4. Step 4: Simplify right side
    9,546.56x = 83,753,789.72
  5. Step 5: Solve for x
    x = 83,753,789.72/9,546.56
  6. Step 6: Final answer
    x = 8,773.19

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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.