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Finding the Fourth Proportional to 9,491.82, 13,104.87 and 8,495.37

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Solution

The fourth proportional to 9,491.82, 13,104.87 and 8,495.37 is: 11,729.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,491.82 : 13,104.87 = 8,495.37 : x
  2. Step 2: Convert to fraction form
    9,491.82/13,104.87 = 8,495.37/x
  3. Step 3: Cross multiply
    9,491.82x = 13,104.87 × 8,495.37
  4. Step 4: Simplify right side
    9,491.82x = 111,330,719.45
  5. Step 5: Solve for x
    x = 111,330,719.45/9,491.82
  6. Step 6: Final answer
    x = 11,729.12

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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.