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Finding the Fourth Proportional to 9,667.72, 13,342.32 and 5,889.98

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Solution

The fourth proportional to 9,667.72, 13,342.32 and 5,889.98 is: 8,128.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,667.72 : 13,342.32 = 5,889.98 : x
  2. Step 2: Convert to fraction form
    9,667.72/13,342.32 = 5,889.98/x
  3. Step 3: Cross multiply
    9,667.72x = 13,342.32 × 5,889.98
  4. Step 4: Simplify right side
    9,667.72x = 78,585,997.95
  5. Step 5: Solve for x
    x = 78,585,997.95/9,667.72
  6. Step 6: Final answer
    x = 8,128.70

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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.