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Finding the Fourth Proportional to 7,110.65, 9,812.62 and 3,923.97

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Solution

The fourth proportional to 7,110.65, 9,812.62 and 3,923.97 is: 5,415.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,110.65 : 9,812.62 = 3,923.97 : x
  2. Step 2: Convert to fraction form
    7,110.65/9,812.62 = 3,923.97/x
  3. Step 3: Cross multiply
    7,110.65x = 9,812.62 × 3,923.97
  4. Step 4: Simplify right side
    7,110.65x = 38,504,431.41
  5. Step 5: Solve for x
    x = 38,504,431.41/7,110.65
  6. Step 6: Final answer
    x = 5,415.04

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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.