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Finding the Fourth Proportional to 7,162.74, 9,884.97 and 4,018.86

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Solution

The fourth proportional to 7,162.74, 9,884.97 and 4,018.86 is: 5,546.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,162.74 : 9,884.97 = 4,018.86 : x
  2. Step 2: Convert to fraction form
    7,162.74/9,884.97 = 4,018.86/x
  3. Step 3: Cross multiply
    7,162.74x = 9,884.97 × 4,018.86
  4. Step 4: Simplify right side
    7,162.74x = 39,726,310.53
  5. Step 5: Solve for x
    x = 39,726,310.53/7,162.74
  6. Step 6: Final answer
    x = 5,546.24

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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.