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Finding the Fourth Proportional to 9,538.40, 13,163.08 and 5,289.54

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Solution

The fourth proportional to 9,538.40, 13,163.08 and 5,289.54 is: 7,299.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,538.40 : 13,163.08 = 5,289.54 : x
  2. Step 2: Convert to fraction form
    9,538.40/13,163.08 = 5,289.54/x
  3. Step 3: Cross multiply
    9,538.40x = 13,163.08 × 5,289.54
  4. Step 4: Simplify right side
    9,538.40x = 69,626,638.18
  5. Step 5: Solve for x
    x = 69,626,638.18/9,538.40
  6. Step 6: Final answer
    x = 7,299.62

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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.