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Finding the Fourth Proportional to 5,640,765.72, 7,784,738.64 and 3,193,807.92

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Solution

The fourth proportional to 5,640,765.72, 7,784,738.64 and 3,193,807.92 is: 4,407,727.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,640,765.72 : 7,784,738.64 = 3,193,807.92 : x
  2. Step 2: Convert to fraction form
    5,640,765.72/7,784,738.64 = 3,193,807.92/x
  3. Step 3: Cross multiply
    5,640,765.72x = 7,784,738.64 × 3,193,807.92
  4. Step 4: Simplify right side
    5,640,765.72x = 24,862,959,923,562.03
  5. Step 5: Solve for x
    x = 24,862,959,923,562.03/5,640,765.72
  6. Step 6: Final answer
    x = 4,407,727.81

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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.