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Finding the Fourth Proportional to 9,144.81, 13,717.22 and 2,219.31

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Solution

The fourth proportional to 9,144.81, 13,717.22 and 2,219.31 is: 3,328.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,144.81 : 13,717.22 = 2,219.31 : x
  2. Step 2: Convert to fraction form
    9,144.81/13,717.22 = 2,219.31/x
  3. Step 3: Cross multiply
    9,144.81x = 13,717.22 × 2,219.31
  4. Step 4: Simplify right side
    9,144.81x = 30,442,752.42
  5. Step 5: Solve for x
    x = 30,442,752.42/9,144.81
  6. Step 6: Final answer
    x = 3,328.97

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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.