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Finding the Fourth Proportional to 6,538.22, 9,023.05 and 3,667.22

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Solution

The fourth proportional to 6,538.22, 9,023.05 and 3,667.22 is: 5,060.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,538.22 : 9,023.05 = 3,667.22 : x
  2. Step 2: Convert to fraction form
    6,538.22/9,023.05 = 3,667.22/x
  3. Step 3: Cross multiply
    6,538.22x = 9,023.05 × 3,667.22
  4. Step 4: Simplify right side
    6,538.22x = 33,089,532.85
  5. Step 5: Solve for x
    x = 33,089,532.85/6,538.22
  6. Step 6: Final answer
    x = 5,060.94

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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.