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Finding the Fourth Proportional to 6,093.12, 8,409.72 and 3,997.20

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Solution

The fourth proportional to 6,093.12, 8,409.72 and 3,997.20 is: 5,516.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,093.12 : 8,409.72 = 3,997.20 : x
  2. Step 2: Convert to fraction form
    6,093.12/8,409.72 = 3,997.20/x
  3. Step 3: Cross multiply
    6,093.12x = 8,409.72 × 3,997.20
  4. Step 4: Simplify right side
    6,093.12x = 33,615,332.78
  5. Step 5: Solve for x
    x = 33,615,332.78/6,093.12
  6. Step 6: Final answer
    x = 5,516.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.