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Finding the Fourth Proportional to 6,422.52, 9,634.05 and 3,138.51

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Solution

The fourth proportional to 6,422.52, 9,634.05 and 3,138.51 is: 4,707.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,422.52 : 9,634.05 = 3,138.51 : x
  2. Step 2: Convert to fraction form
    6,422.52/9,634.05 = 3,138.51/x
  3. Step 3: Cross multiply
    6,422.52x = 9,634.05 × 3,138.51
  4. Step 4: Simplify right side
    6,422.52x = 30,236,562.27
  5. Step 5: Solve for x
    x = 30,236,562.27/6,422.52
  6. Step 6: Final answer
    x = 4,707.90

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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.