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Finding the Fourth Proportional to 6,424.90, 9,639.15 and 3,138.10

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Solution

The fourth proportional to 6,424.90, 9,639.15 and 3,138.10 is: 4,708.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,424.90 : 9,639.15 = 3,138.10 : x
  2. Step 2: Convert to fraction form
    6,424.90/9,639.15 = 3,138.10/x
  3. Step 3: Cross multiply
    6,424.90x = 9,639.15 × 3,138.10
  4. Step 4: Simplify right side
    6,424.90x = 30,248,616.62
  5. Step 5: Solve for x
    x = 30,248,616.62/6,424.90
  6. Step 6: Final answer
    x = 4,708.03

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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.