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Finding the Fourth Proportional to 9,487.94, 13,092.67 and 5,238.32

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Solution

The fourth proportional to 9,487.94, 13,092.67 and 5,238.32 is: 7,228.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,487.94 : 13,092.67 = 5,238.32 : x
  2. Step 2: Convert to fraction form
    9,487.94/13,092.67 = 5,238.32/x
  3. Step 3: Cross multiply
    9,487.94x = 13,092.67 × 5,238.32
  4. Step 4: Simplify right side
    9,487.94x = 68,583,516.56
  5. Step 5: Solve for x
    x = 68,583,516.56/9,487.94
  6. Step 6: Final answer
    x = 7,228.49

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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.