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Finding the Fourth Proportional to 10,446.84, 14,409.24 and 6,469.92

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Solution

The fourth proportional to 10,446.84, 14,409.24 and 6,469.92 is: 8,923.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,446.84 : 14,409.24 = 6,469.92 : x
  2. Step 2: Convert to fraction form
    10,446.84/14,409.24 = 6,469.92/x
  3. Step 3: Cross multiply
    10,446.84x = 14,409.24 × 6,469.92
  4. Step 4: Simplify right side
    10,446.84x = 93,226,630.06
  5. Step 5: Solve for x
    x = 93,226,630.06/10,446.84
  6. Step 6: Final answer
    x = 8,923.91

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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.