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Finding the Fourth Proportional to 6,328.36, 9,494.46 and 2,864.68

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Solution

The fourth proportional to 6,328.36, 9,494.46 and 2,864.68 is: 4,297.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,328.36 : 9,494.46 = 2,864.68 : x
  2. Step 2: Convert to fraction form
    6,328.36/9,494.46 = 2,864.68/x
  3. Step 3: Cross multiply
    6,328.36x = 9,494.46 × 2,864.68
  4. Step 4: Simplify right side
    6,328.36x = 27,198,589.67
  5. Step 5: Solve for x
    x = 27,198,589.67/6,328.36
  6. Step 6: Final answer
    x = 4,297.89

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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.