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Finding the Fourth Proportional to 9,828.74, 14,743.02 and 3,983.96

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Solution

The fourth proportional to 9,828.74, 14,743.02 and 3,983.96 is: 5,975.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,828.74 : 14,743.02 = 3,983.96 : x
  2. Step 2: Convert to fraction form
    9,828.74/14,743.02 = 3,983.96/x
  3. Step 3: Cross multiply
    9,828.74x = 14,743.02 × 3,983.96
  4. Step 4: Simplify right side
    9,828.74x = 58,735,601.96
  5. Step 5: Solve for x
    x = 58,735,601.96/9,828.74
  6. Step 6: Final answer
    x = 5,975.90

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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.