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Finding the Fourth Proportional to 9,093.92, 13,667.81 and 7,543.98

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Solution

The fourth proportional to 9,093.92, 13,667.81 and 7,543.98 is: 11,338.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,093.92 : 13,667.81 = 7,543.98 : x
  2. Step 2: Convert to fraction form
    9,093.92/13,667.81 = 7,543.98/x
  3. Step 3: Cross multiply
    9,093.92x = 13,667.81 × 7,543.98
  4. Step 4: Simplify right side
    9,093.92x = 103,109,647.56
  5. Step 5: Solve for x
    x = 103,109,647.56/9,093.92
  6. Step 6: Final answer
    x = 11,338.31

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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.