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Finding the Fourth Proportional to 9,766.13, 14,640.21 and 3,524.67

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Solution

The fourth proportional to 9,766.13, 14,640.21 and 3,524.67 is: 5,283.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,766.13 : 14,640.21 = 3,524.67 : x
  2. Step 2: Convert to fraction form
    9,766.13/14,640.21 = 3,524.67/x
  3. Step 3: Cross multiply
    9,766.13x = 14,640.21 × 3,524.67
  4. Step 4: Simplify right side
    9,766.13x = 51,601,908.98
  5. Step 5: Solve for x
    x = 51,601,908.98/9,766.13
  6. Step 6: Final answer
    x = 5,283.76

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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.