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Finding the Fourth Proportional to 9,898.29, 14,847.44 and 3,324.49

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Solution

The fourth proportional to 9,898.29, 14,847.44 and 3,324.49 is: 4,986.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,898.29 : 14,847.44 = 3,324.49 : x
  2. Step 2: Convert to fraction form
    9,898.29/14,847.44 = 3,324.49/x
  3. Step 3: Cross multiply
    9,898.29x = 14,847.44 × 3,324.49
  4. Step 4: Simplify right side
    9,898.29x = 49,360,112.06
  5. Step 5: Solve for x
    x = 49,360,112.06/9,898.29
  6. Step 6: Final answer
    x = 4,986.73

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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.