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Finding the Fourth Proportional to 6,297.67, 8,690.72 and 3,464.97

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Solution

The fourth proportional to 6,297.67, 8,690.72 and 3,464.97 is: 4,781.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,297.67 : 8,690.72 = 3,464.97 : x
  2. Step 2: Convert to fraction form
    6,297.67/8,690.72 = 3,464.97/x
  3. Step 3: Cross multiply
    6,297.67x = 8,690.72 × 3,464.97
  4. Step 4: Simplify right side
    6,297.67x = 30,113,084.08
  5. Step 5: Solve for x
    x = 30,113,084.08/6,297.67
  6. Step 6: Final answer
    x = 4,781.62

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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.