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Finding the Fourth Proportional to 9,711.46, 13,401.41 and 5,733.85

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Solution

The fourth proportional to 9,711.46, 13,401.41 and 5,733.85 is: 7,912.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,711.46 : 13,401.41 = 5,733.85 : x
  2. Step 2: Convert to fraction form
    9,711.46/13,401.41 = 5,733.85/x
  3. Step 3: Cross multiply
    9,711.46x = 13,401.41 × 5,733.85
  4. Step 4: Simplify right side
    9,711.46x = 76,841,674.73
  5. Step 5: Solve for x
    x = 76,841,674.73/9,711.46
  6. Step 6: Final answer
    x = 7,912.48

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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.