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Finding the Fourth Proportional to 6,297.43, 8,688.34 and 3,643.87

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Solution

The fourth proportional to 6,297.43, 8,688.34 and 3,643.87 is: 5,027.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,297.43 : 8,688.34 = 3,643.87 : x
  2. Step 2: Convert to fraction form
    6,297.43/8,688.34 = 3,643.87/x
  3. Step 3: Cross multiply
    6,297.43x = 8,688.34 × 3,643.87
  4. Step 4: Simplify right side
    6,297.43x = 31,659,181.48
  5. Step 5: Solve for x
    x = 31,659,181.48/6,297.43
  6. Step 6: Final answer
    x = 5,027.32

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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.