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Finding the Fourth Proportional to 6,297.43, 8,690.11 and 3,464.34

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Solution

The fourth proportional to 6,297.43, 8,690.11 and 3,464.34 is: 4,780.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,297.43 : 8,690.11 = 3,464.34 : x
  2. Step 2: Convert to fraction form
    6,297.43/8,690.11 = 3,464.34/x
  3. Step 3: Cross multiply
    6,297.43x = 8,690.11 × 3,464.34
  4. Step 4: Simplify right side
    6,297.43x = 30,105,487.02
  5. Step 5: Solve for x
    x = 30,105,487.02/6,297.43
  6. Step 6: Final answer
    x = 4,780.60

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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.