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Finding the Fourth Proportional to 6,433.91, 9,645.71 and 4,226.48

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Solution

The fourth proportional to 6,433.91, 9,645.71 and 4,226.48 is: 6,336.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,433.91 : 9,645.71 = 4,226.48 : x
  2. Step 2: Convert to fraction form
    6,433.91/9,645.71 = 4,226.48/x
  3. Step 3: Cross multiply
    6,433.91x = 9,645.71 × 4,226.48
  4. Step 4: Simplify right side
    6,433.91x = 40,767,331.04
  5. Step 5: Solve for x
    x = 40,767,331.04/6,433.91
  6. Step 6: Final answer
    x = 6,336.33

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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.