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Finding the Fourth Proportional to 6,233.37, 9,354.44 and 5,637.84

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Solution

The fourth proportional to 6,233.37, 9,354.44 and 5,637.84 is: 8,460.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,233.37 : 9,354.44 = 5,637.84 : x
  2. Step 2: Convert to fraction form
    6,233.37/9,354.44 = 5,637.84/x
  3. Step 3: Cross multiply
    6,233.37x = 9,354.44 × 5,637.84
  4. Step 4: Simplify right side
    6,233.37x = 52,738,836.01
  5. Step 5: Solve for x
    x = 52,738,836.01/6,233.37
  6. Step 6: Final answer
    x = 8,460.73

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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.