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Finding the Fourth Proportional to 7,096.23, 9,791.91 and 4,112.01

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Solution

The fourth proportional to 7,096.23, 9,791.91 and 4,112.01 is: 5,674.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,096.23 : 9,791.91 = 4,112.01 : x
  2. Step 2: Convert to fraction form
    7,096.23/9,791.91 = 4,112.01/x
  3. Step 3: Cross multiply
    7,096.23x = 9,791.91 × 4,112.01
  4. Step 4: Simplify right side
    7,096.23x = 40,264,431.84
  5. Step 5: Solve for x
    x = 40,264,431.84/7,096.23
  6. Step 6: Final answer
    x = 5,674.06

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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.