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Finding the Fourth Proportional to 6,446.14, 8,895.67 and 3,613.54

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Solution

The fourth proportional to 6,446.14, 8,895.67 and 3,613.54 is: 4,986.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,446.14 : 8,895.67 = 3,613.54 : x
  2. Step 2: Convert to fraction form
    6,446.14/8,895.67 = 3,613.54/x
  3. Step 3: Cross multiply
    6,446.14x = 8,895.67 × 3,613.54
  4. Step 4: Simplify right side
    6,446.14x = 32,144,859.37
  5. Step 5: Solve for x
    x = 32,144,859.37/6,446.14
  6. Step 6: Final answer
    x = 4,986.68

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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.