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Finding the Fourth Proportional to 6,434.84, 9,652.16 and 2,052.27

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Solution

The fourth proportional to 6,434.84, 9,652.16 and 2,052.27 is: 3,078.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,434.84 : 9,652.16 = 2,052.27 : x
  2. Step 2: Convert to fraction form
    6,434.84/9,652.16 = 2,052.27/x
  3. Step 3: Cross multiply
    6,434.84x = 9,652.16 × 2,052.27
  4. Step 4: Simplify right side
    6,434.84x = 19,808,843.53
  5. Step 5: Solve for x
    x = 19,808,843.53/6,434.84
  6. Step 6: Final answer
    x = 3,078.37

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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.