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Finding the Fourth Proportional to 6,424.40, 9,639.36 and 2,267.44

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Solution

The fourth proportional to 6,424.40, 9,639.36 and 2,267.44 is: 3,402.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,424.40 : 9,639.36 = 2,267.44 : x
  2. Step 2: Convert to fraction form
    6,424.40/9,639.36 = 2,267.44/x
  3. Step 3: Cross multiply
    6,424.40x = 9,639.36 × 2,267.44
  4. Step 4: Simplify right side
    6,424.40x = 21,856,670.44
  5. Step 5: Solve for x
    x = 21,856,670.44/6,424.40
  6. Step 6: Final answer
    x = 3,402.13

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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.