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Finding the Fourth Proportional to 6,446.40, 9,667.54 and 2,062.81

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Solution

The fourth proportional to 6,446.40, 9,667.54 and 2,062.81 is: 3,093.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,446.40 : 9,667.54 = 2,062.81 : x
  2. Step 2: Convert to fraction form
    6,446.40/9,667.54 = 2,062.81/x
  3. Step 3: Cross multiply
    6,446.40x = 9,667.54 × 2,062.81
  4. Step 4: Simplify right side
    6,446.40x = 19,942,298.19
  5. Step 5: Solve for x
    x = 19,942,298.19/6,446.40
  6. Step 6: Final answer
    x = 3,093.56

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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.