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Finding the Fourth Proportional to 7,168.92, 9,893.73 and 4,185.71

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Solution

The fourth proportional to 7,168.92, 9,893.73 and 4,185.71 is: 5,776.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,168.92 : 9,893.73 = 4,185.71 : x
  2. Step 2: Convert to fraction form
    7,168.92/9,893.73 = 4,185.71/x
  3. Step 3: Cross multiply
    7,168.92x = 9,893.73 × 4,185.71
  4. Step 4: Simplify right side
    7,168.92x = 41,412,235.13
  5. Step 5: Solve for x
    x = 41,412,235.13/7,168.92
  6. Step 6: Final answer
    x = 5,776.64

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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.