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Finding the Fourth Proportional to 6,205.41, 9,314.27 and 5,049.03

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Solution

The fourth proportional to 6,205.41, 9,314.27 and 5,049.03 is: 7,578.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,205.41 : 9,314.27 = 5,049.03 : x
  2. Step 2: Convert to fraction form
    6,205.41/9,314.27 = 5,049.03/x
  3. Step 3: Cross multiply
    6,205.41x = 9,314.27 × 5,049.03
  4. Step 4: Simplify right side
    6,205.41x = 47,028,043.07
  5. Step 5: Solve for x
    x = 47,028,043.07/6,205.41
  6. Step 6: Final answer
    x = 7,578.56

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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.