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Finding the Fourth Proportional to 6,434.46, 9,651.63 and 2,052.30

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Solution

The fourth proportional to 6,434.46, 9,651.63 and 2,052.30 is: 3,078.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,434.46 : 9,651.63 = 2,052.30 : x
  2. Step 2: Convert to fraction form
    6,434.46/9,651.63 = 2,052.30/x
  3. Step 3: Cross multiply
    6,434.46x = 9,651.63 × 2,052.30
  4. Step 4: Simplify right side
    6,434.46x = 19,808,040.25
  5. Step 5: Solve for x
    x = 19,808,040.25/6,434.46
  6. Step 6: Final answer
    x = 3,078.43

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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.