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Finding the Fourth Proportional to 9,538.75, 13,163.48 and 5,812.75

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Solution

The fourth proportional to 9,538.75, 13,163.48 and 5,812.75 is: 8,021.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,538.75 : 13,163.48 = 5,812.75 : x
  2. Step 2: Convert to fraction form
    9,538.75/13,163.48 = 5,812.75/x
  3. Step 3: Cross multiply
    9,538.75x = 13,163.48 × 5,812.75
  4. Step 4: Simplify right side
    9,538.75x = 76,516,018.37
  5. Step 5: Solve for x
    x = 76,516,018.37/9,538.75
  6. Step 6: Final answer
    x = 8,021.60

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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.