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Finding the Fourth Proportional to 6,288.62, 9,424.94 and 3,511.28

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Solution

The fourth proportional to 6,288.62, 9,424.94 and 3,511.28 is: 5,262.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,288.62 : 9,424.94 = 3,511.28 : x
  2. Step 2: Convert to fraction form
    6,288.62/9,424.94 = 3,511.28/x
  3. Step 3: Cross multiply
    6,288.62x = 9,424.94 × 3,511.28
  4. Step 4: Simplify right side
    6,288.62x = 33,093,603.32
  5. Step 5: Solve for x
    x = 33,093,603.32/6,288.62
  6. Step 6: Final answer
    x = 5,262.46

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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.