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Finding the Fourth Proportional to 6,287.67, 8,676.30 and 3,634.68

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Solution

The fourth proportional to 6,287.67, 8,676.30 and 3,634.68 is: 5,015.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,287.67 : 8,676.30 = 3,634.68 : x
  2. Step 2: Convert to fraction form
    6,287.67/8,676.30 = 3,634.68/x
  3. Step 3: Cross multiply
    6,287.67x = 8,676.30 × 3,634.68
  4. Step 4: Simplify right side
    6,287.67x = 31,535,574.08
  5. Step 5: Solve for x
    x = 31,535,574.08/6,287.67
  6. Step 6: Final answer
    x = 5,015.46

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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.