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Finding the Fourth Proportional to 6,429.94, 9,644.74 and 3,469.68

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Solution

The fourth proportional to 6,429.94, 9,644.74 and 3,469.68 is: 5,204.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,429.94 : 9,644.74 = 3,469.68 : x
  2. Step 2: Convert to fraction form
    6,429.94/9,644.74 = 3,469.68/x
  3. Step 3: Cross multiply
    6,429.94x = 9,644.74 × 3,469.68
  4. Step 4: Simplify right side
    6,429.94x = 33,464,152.81
  5. Step 5: Solve for x
    x = 33,464,152.81/6,429.94
  6. Step 6: Final answer
    x = 5,204.43

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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.