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Finding the Fourth Proportional to 7,096.62, 9,792.90 and 4,112.22

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Solution

The fourth proportional to 7,096.62, 9,792.90 and 4,112.22 is: 5,674.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,096.62 : 9,792.90 = 4,112.22 : x
  2. Step 2: Convert to fraction form
    7,096.62/9,792.90 = 4,112.22/x
  3. Step 3: Cross multiply
    7,096.62x = 9,792.90 × 4,112.22
  4. Step 4: Simplify right side
    7,096.62x = 40,270,559.24
  5. Step 5: Solve for x
    x = 40,270,559.24/7,096.62
  6. Step 6: Final answer
    x = 5,674.61

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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.