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Finding the Fourth Proportional to 6,391.45, 9,574.89 and 3,919.06

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Solution

The fourth proportional to 6,391.45, 9,574.89 and 3,919.06 is: 5,871.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,391.45 : 9,574.89 = 3,919.06 : x
  2. Step 2: Convert to fraction form
    6,391.45/9,574.89 = 3,919.06/x
  3. Step 3: Cross multiply
    6,391.45x = 9,574.89 × 3,919.06
  4. Step 4: Simplify right side
    6,391.45x = 37,524,568.40
  5. Step 5: Solve for x
    x = 37,524,568.40/6,391.45
  6. Step 6: Final answer
    x = 5,871.06

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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.