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Finding the Fourth Proportional to 6,433.09, 9,650.32 and 2,049.55

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Solution

The fourth proportional to 6,433.09, 9,650.32 and 2,049.55 is: 3,074.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,433.09 : 9,650.32 = 2,049.55 : x
  2. Step 2: Convert to fraction form
    6,433.09/9,650.32 = 2,049.55/x
  3. Step 3: Cross multiply
    6,433.09x = 9,650.32 × 2,049.55
  4. Step 4: Simplify right side
    6,433.09x = 19,778,784.11
  5. Step 5: Solve for x
    x = 19,778,784.11/6,433.09
  6. Step 6: Final answer
    x = 3,074.54

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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.