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Finding the Fourth Proportional to 9,446.92, 14,171.10 and 2,782.96

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Solution

The fourth proportional to 9,446.92, 14,171.10 and 2,782.96 is: 4,174.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,446.92 : 14,171.10 = 2,782.96 : x
  2. Step 2: Convert to fraction form
    9,446.92/14,171.10 = 2,782.96/x
  3. Step 3: Cross multiply
    9,446.92x = 14,171.10 × 2,782.96
  4. Step 4: Simplify right side
    9,446.92x = 39,437,604.46
  5. Step 5: Solve for x
    x = 39,437,604.46/9,446.92
  6. Step 6: Final answer
    x = 4,174.65

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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.