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Finding the Fourth Proportional to 9,538.92, 13,163.67 and 5,347.17

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Solution

The fourth proportional to 9,538.92, 13,163.67 and 5,347.17 is: 7,379.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,538.92 : 13,163.67 = 5,347.17 : x
  2. Step 2: Convert to fraction form
    9,538.92/13,163.67 = 5,347.17/x
  3. Step 3: Cross multiply
    9,538.92x = 13,163.67 × 5,347.17
  4. Step 4: Simplify right side
    9,538.92x = 70,388,381.31
  5. Step 5: Solve for x
    x = 70,388,381.31/9,538.92
  6. Step 6: Final answer
    x = 7,379.07

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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.