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Finding the Fourth Proportional to 9,487.42, 13,092.79 and 5,238.68

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Solution

The fourth proportional to 9,487.42, 13,092.79 and 5,238.68 is: 7,229.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,487.42 : 13,092.79 = 5,238.68 : x
  2. Step 2: Convert to fraction form
    9,487.42/13,092.79 = 5,238.68/x
  3. Step 3: Cross multiply
    9,487.42x = 13,092.79 × 5,238.68
  4. Step 4: Simplify right side
    9,487.42x = 68,588,937.12
  5. Step 5: Solve for x
    x = 68,588,937.12/9,487.42
  6. Step 6: Final answer
    x = 7,229.46

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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.