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Finding the Fourth Proportional to 6,493.43, 8,961.39 and 3,661.06

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Solution

The fourth proportional to 6,493.43, 8,961.39 and 3,661.06 is: 5,052.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,493.43 : 8,961.39 = 3,661.06 : x
  2. Step 2: Convert to fraction form
    6,493.43/8,961.39 = 3,661.06/x
  3. Step 3: Cross multiply
    6,493.43x = 8,961.39 × 3,661.06
  4. Step 4: Simplify right side
    6,493.43x = 32,808,141.67
  5. Step 5: Solve for x
    x = 32,808,141.67/6,493.43
  6. Step 6: Final answer
    x = 5,052.52

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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.