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Finding the Fourth Proportional to 9,192.26, 13,795.32 and 6,733.38

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Solution

The fourth proportional to 9,192.26, 13,795.32 and 6,733.38 is: 10,105.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,192.26 : 13,795.32 = 6,733.38 : x
  2. Step 2: Convert to fraction form
    9,192.26/13,795.32 = 6,733.38/x
  3. Step 3: Cross multiply
    9,192.26x = 13,795.32 × 6,733.38
  4. Step 4: Simplify right side
    9,192.26x = 92,889,131.78
  5. Step 5: Solve for x
    x = 92,889,131.78/9,192.26
  6. Step 6: Final answer
    x = 10,105.15

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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.