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Finding the Fourth Proportional to 9,538.53, 13,163.28 and 5,289.67

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Solution

The fourth proportional to 9,538.53, 13,163.28 and 5,289.67 is: 7,299.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,538.53 : 13,163.28 = 5,289.67 : x
  2. Step 2: Convert to fraction form
    9,538.53/13,163.28 = 5,289.67/x
  3. Step 3: Cross multiply
    9,538.53x = 13,163.28 × 5,289.67
  4. Step 4: Simplify right side
    9,538.53x = 69,629,403.94
  5. Step 5: Solve for x
    x = 69,629,403.94/9,538.53
  6. Step 6: Final answer
    x = 7,299.81

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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.