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Finding the Fourth Proportional to 9,192.69, 13,772.03 and 7,105.32

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Solution

The fourth proportional to 9,192.69, 13,772.03 and 7,105.32 is: 10,644.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,192.69 : 13,772.03 = 7,105.32 : x
  2. Step 2: Convert to fraction form
    9,192.69/13,772.03 = 7,105.32/x
  3. Step 3: Cross multiply
    9,192.69x = 13,772.03 × 7,105.32
  4. Step 4: Simplify right side
    9,192.69x = 97,854,644.67
  5. Step 5: Solve for x
    x = 97,854,644.67/9,192.69
  6. Step 6: Final answer
    x = 10,644.83

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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.