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Finding the Fourth Proportional to 9,227.91, 12,732.57 and 5,869.50

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Solution

The fourth proportional to 9,227.91, 12,732.57 and 5,869.50 is: 8,098.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,227.91 : 12,732.57 = 5,869.50 : x
  2. Step 2: Convert to fraction form
    9,227.91/12,732.57 = 5,869.50/x
  3. Step 3: Cross multiply
    9,227.91x = 12,732.57 × 5,869.50
  4. Step 4: Simplify right side
    9,227.91x = 74,733,819.62
  5. Step 5: Solve for x
    x = 74,733,819.62/9,227.91
  6. Step 6: Final answer
    x = 8,098.67

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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.