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Finding the Fourth Proportional to 6,574.16, 9,850.31 and 4,622.27

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Solution

The fourth proportional to 6,574.16, 9,850.31 and 4,622.27 is: 6,925.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,574.16 : 9,850.31 = 4,622.27 : x
  2. Step 2: Convert to fraction form
    6,574.16/9,850.31 = 4,622.27/x
  3. Step 3: Cross multiply
    6,574.16x = 9,850.31 × 4,622.27
  4. Step 4: Simplify right side
    6,574.16x = 45,530,737.37
  5. Step 5: Solve for x
    x = 45,530,737.37/6,574.16
  6. Step 6: Final answer
    x = 6,925.71

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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.