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Finding the Fourth Proportional to 6,216.37, 9,324.46 and 1,536.37

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Solution

The fourth proportional to 6,216.37, 9,324.46 and 1,536.37 is: 2,304.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,216.37 : 9,324.46 = 1,536.37 : x
  2. Step 2: Convert to fraction form
    6,216.37/9,324.46 = 1,536.37/x
  3. Step 3: Cross multiply
    6,216.37x = 9,324.46 × 1,536.37
  4. Step 4: Simplify right side
    6,216.37x = 14,325,856.14
  5. Step 5: Solve for x
    x = 14,325,856.14/6,216.37
  6. Step 6: Final answer
    x = 2,304.54

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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.