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Finding the Fourth Proportional to 7,175.78, 9,902.67 and 4,343.12

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Solution

The fourth proportional to 7,175.78, 9,902.67 and 4,343.12 is: 5,993.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,175.78 : 9,902.67 = 4,343.12 : x
  2. Step 2: Convert to fraction form
    7,175.78/9,902.67 = 4,343.12/x
  3. Step 3: Cross multiply
    7,175.78x = 9,902.67 × 4,343.12
  4. Step 4: Simplify right side
    7,175.78x = 43,008,484.13
  5. Step 5: Solve for x
    x = 43,008,484.13/7,175.78
  6. Step 6: Final answer
    x = 5,993.56

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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.