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Finding the Fourth Proportional to 6,424.63, 9,627.89 and 3,043.83

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Solution

The fourth proportional to 6,424.63, 9,627.89 and 3,043.83 is: 4,561.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,424.63 : 9,627.89 = 3,043.83 : x
  2. Step 2: Convert to fraction form
    6,424.63/9,627.89 = 3,043.83/x
  3. Step 3: Cross multiply
    6,424.63x = 9,627.89 × 3,043.83
  4. Step 4: Simplify right side
    6,424.63x = 29,305,660.42
  5. Step 5: Solve for x
    x = 29,305,660.42/6,424.63
  6. Step 6: Final answer
    x = 4,561.45

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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.