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Finding the Fourth Proportional to 6,300.42, 8,694.21 and 3,647.64

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Solution

The fourth proportional to 6,300.42, 8,694.21 and 3,647.64 is: 5,033.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,300.42 : 8,694.21 = 3,647.64 : x
  2. Step 2: Convert to fraction form
    6,300.42/8,694.21 = 3,647.64/x
  3. Step 3: Cross multiply
    6,300.42x = 8,694.21 × 3,647.64
  4. Step 4: Simplify right side
    6,300.42x = 31,713,348.16
  5. Step 5: Solve for x
    x = 31,713,348.16/6,300.42
  6. Step 6: Final answer
    x = 5,033.53

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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.