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Finding the Fourth Proportional to 9,647.92, 14,472.38 and 2,722.96

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Solution

The fourth proportional to 9,647.92, 14,472.38 and 2,722.96 is: 4,084.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,647.92 : 14,472.38 = 2,722.96 : x
  2. Step 2: Convert to fraction form
    9,647.92/14,472.38 = 2,722.96/x
  3. Step 3: Cross multiply
    9,647.92x = 14,472.38 × 2,722.96
  4. Step 4: Simplify right side
    9,647.92x = 39,407,711.84
  5. Step 5: Solve for x
    x = 39,407,711.84/9,647.92
  6. Step 6: Final answer
    x = 4,084.58

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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.