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Finding the Fourth Proportional to 10,446.49, 14,408.01 and 6,469.81

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Solution

The fourth proportional to 10,446.49, 14,408.01 and 6,469.81 is: 8,923.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,446.49 : 14,408.01 = 6,469.81 : x
  2. Step 2: Convert to fraction form
    10,446.49/14,408.01 = 6,469.81/x
  3. Step 3: Cross multiply
    10,446.49x = 14,408.01 × 6,469.81
  4. Step 4: Simplify right side
    10,446.49x = 93,217,087.18
  5. Step 5: Solve for x
    x = 93,217,087.18/10,446.49
  6. Step 6: Final answer
    x = 8,923.29

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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.