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Finding the Fourth Proportional to 9,471.87, 14,189.62 and 5,299.23

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Solution

The fourth proportional to 9,471.87, 14,189.62 and 5,299.23 is: 7,938.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,471.87 : 14,189.62 = 5,299.23 : x
  2. Step 2: Convert to fraction form
    9,471.87/14,189.62 = 5,299.23/x
  3. Step 3: Cross multiply
    9,471.87x = 14,189.62 × 5,299.23
  4. Step 4: Simplify right side
    9,471.87x = 75,194,059.99
  5. Step 5: Solve for x
    x = 75,194,059.99/9,471.87
  6. Step 6: Final answer
    x = 7,938.67

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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.