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Finding the Fourth Proportional to 9,538.98, 13,163.81 and 5,347.22

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Solution

The fourth proportional to 9,538.98, 13,163.81 and 5,347.22 is: 7,379.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,538.98 : 13,163.81 = 5,347.22 : x
  2. Step 2: Convert to fraction form
    9,538.98/13,163.81 = 5,347.22/x
  3. Step 3: Cross multiply
    9,538.98x = 13,163.81 × 5,347.22
  4. Step 4: Simplify right side
    9,538.98x = 70,389,788.11
  5. Step 5: Solve for x
    x = 70,389,788.11/9,538.98
  6. Step 6: Final answer
    x = 7,379.17

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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.