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Finding the Fourth Proportional to 6,131.64, 9,198.54 and 2,671.32

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Solution

The fourth proportional to 6,131.64, 9,198.54 and 2,671.32 is: 4,007.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,131.64 : 9,198.54 = 2,671.32 : x
  2. Step 2: Convert to fraction form
    6,131.64/9,198.54 = 2,671.32/x
  3. Step 3: Cross multiply
    6,131.64x = 9,198.54 × 2,671.32
  4. Step 4: Simplify right side
    6,131.64x = 24,572,243.87
  5. Step 5: Solve for x
    x = 24,572,243.87/6,131.64
  6. Step 6: Final answer
    x = 4,007.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.