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Finding the Fourth Proportional to 9,491.87, 13,098.71 and 5,243.20

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Solution

The fourth proportional to 9,491.87, 13,098.71 and 5,243.20 is: 7,235.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,491.87 : 13,098.71 = 5,243.20 : x
  2. Step 2: Convert to fraction form
    9,491.87/13,098.71 = 5,243.20/x
  3. Step 3: Cross multiply
    9,491.87x = 13,098.71 × 5,243.20
  4. Step 4: Simplify right side
    9,491.87x = 68,679,136.63
  5. Step 5: Solve for x
    x = 68,679,136.63/9,491.87
  6. Step 6: Final answer
    x = 7,235.57

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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.