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Finding the Fourth Proportional to 9,491.27, 13,098.05 and 5,242.44

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Solution

The fourth proportional to 9,491.27, 13,098.05 and 5,242.44 is: 7,234.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,491.27 : 13,098.05 = 5,242.44 : x
  2. Step 2: Convert to fraction form
    9,491.27/13,098.05 = 5,242.44/x
  3. Step 3: Cross multiply
    9,491.27x = 13,098.05 × 5,242.44
  4. Step 4: Simplify right side
    9,491.27x = 68,665,649.54
  5. Step 5: Solve for x
    x = 68,665,649.54/9,491.27
  6. Step 6: Final answer
    x = 7,234.62

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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.