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Finding the Fourth Proportional to 6,049.43, 9,071.97 and 2,153.06

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Solution

The fourth proportional to 6,049.43, 9,071.97 and 2,153.06 is: 3,228.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,049.43 : 9,071.97 = 2,153.06 : x
  2. Step 2: Convert to fraction form
    6,049.43/9,071.97 = 2,153.06/x
  3. Step 3: Cross multiply
    6,049.43x = 9,071.97 × 2,153.06
  4. Step 4: Simplify right side
    6,049.43x = 19,532,450.37
  5. Step 5: Solve for x
    x = 19,532,450.37/6,049.43
  6. Step 6: Final answer
    x = 3,228.81

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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.