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Finding the Fourth Proportional to 9,077.64, 13,609.08 and 3,231.06

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Solution

The fourth proportional to 9,077.64, 13,609.08 and 3,231.06 is: 4,843.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,077.64 : 13,609.08 = 3,231.06 : x
  2. Step 2: Convert to fraction form
    9,077.64/13,609.08 = 3,231.06/x
  3. Step 3: Cross multiply
    9,077.64x = 13,609.08 × 3,231.06
  4. Step 4: Simplify right side
    9,077.64x = 43,971,754.02
  5. Step 5: Solve for x
    x = 43,971,754.02/9,077.64
  6. Step 6: Final answer
    x = 4,843.96

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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.