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Finding the Fourth Proportional to 9,491.98, 13,102.62 and 8,495.54

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Solution

The fourth proportional to 9,491.98, 13,102.62 and 8,495.54 is: 11,727.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,491.98 : 13,102.62 = 8,495.54 : x
  2. Step 2: Convert to fraction form
    9,491.98/13,102.62 = 8,495.54/x
  3. Step 3: Cross multiply
    9,491.98x = 13,102.62 × 8,495.54
  4. Step 4: Simplify right side
    9,491.98x = 111,313,832.31
  5. Step 5: Solve for x
    x = 111,313,832.31/9,491.98
  6. Step 6: Final answer
    x = 11,727.15

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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.