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Finding the Fourth Proportional to 6,446.16, 9,674.16 and 4,571.88

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Solution

The fourth proportional to 6,446.16, 9,674.16 and 4,571.88 is: 6,861.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,446.16 : 9,674.16 = 4,571.88 : x
  2. Step 2: Convert to fraction form
    6,446.16/9,674.16 = 4,571.88/x
  3. Step 3: Cross multiply
    6,446.16x = 9,674.16 × 4,571.88
  4. Step 4: Simplify right side
    6,446.16x = 44,229,098.62
  5. Step 5: Solve for x
    x = 44,229,098.62/6,446.16
  6. Step 6: Final answer
    x = 6,861.31

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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.