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Finding the Fourth Proportional to 9,299.81, 13,946.99 and 2,724.44

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Solution

The fourth proportional to 9,299.81, 13,946.99 and 2,724.44 is: 4,085.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,299.81 : 13,946.99 = 2,724.44 : x
  2. Step 2: Convert to fraction form
    9,299.81/13,946.99 = 2,724.44/x
  3. Step 3: Cross multiply
    9,299.81x = 13,946.99 × 2,724.44
  4. Step 4: Simplify right side
    9,299.81x = 37,997,654.08
  5. Step 5: Solve for x
    x = 37,997,654.08/9,299.81
  6. Step 6: Final answer
    x = 4,085.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.