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Finding the Fourth Proportional to 6,361.16, 9,540.62 and 1,742.92

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Solution

The fourth proportional to 6,361.16, 9,540.62 and 1,742.92 is: 2,614.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,361.16 : 9,540.62 = 1,742.92 : x
  2. Step 2: Convert to fraction form
    6,361.16/9,540.62 = 1,742.92/x
  3. Step 3: Cross multiply
    6,361.16x = 9,540.62 × 1,742.92
  4. Step 4: Simplify right side
    6,361.16x = 16,628,537.41
  5. Step 5: Solve for x
    x = 16,628,537.41/6,361.16
  6. Step 6: Final answer
    x = 2,614.07

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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.