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Finding the Fourth Proportional to 6,233.76, 9,327.54 and 4,997.43

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Solution

The fourth proportional to 6,233.76, 9,327.54 and 4,997.43 is: 7,477.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,233.76 : 9,327.54 = 4,997.43 : x
  2. Step 2: Convert to fraction form
    6,233.76/9,327.54 = 4,997.43/x
  3. Step 3: Cross multiply
    6,233.76x = 9,327.54 × 4,997.43
  4. Step 4: Simplify right side
    6,233.76x = 46,613,728.22
  5. Step 5: Solve for x
    x = 46,613,728.22/6,233.76
  6. Step 6: Final answer
    x = 7,477.63

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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.