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Finding the Fourth Proportional to 6,433.46, 9,650.42 and 2,216.69

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Solution

The fourth proportional to 6,433.46, 9,650.42 and 2,216.69 is: 3,325.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,433.46 : 9,650.42 = 2,216.69 : x
  2. Step 2: Convert to fraction form
    6,433.46/9,650.42 = 2,216.69/x
  3. Step 3: Cross multiply
    6,433.46x = 9,650.42 × 2,216.69
  4. Step 4: Simplify right side
    6,433.46x = 21,391,989.51
  5. Step 5: Solve for x
    x = 21,391,989.51/6,433.46
  6. Step 6: Final answer
    x = 3,325.11

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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.