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Finding the Fourth Proportional to 9,640.98, 14,466.92 and 4,446.86

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Solution

The fourth proportional to 9,640.98, 14,466.92 and 4,446.86 is: 6,672.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,640.98 : 14,466.92 = 4,446.86 : x
  2. Step 2: Convert to fraction form
    9,640.98/14,466.92 = 4,446.86/x
  3. Step 3: Cross multiply
    9,640.98x = 14,466.92 × 4,446.86
  4. Step 4: Simplify right side
    9,640.98x = 64,332,273.30
  5. Step 5: Solve for x
    x = 64,332,273.30/9,640.98
  6. Step 6: Final answer
    x = 6,672.79

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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.