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Finding the Fourth Proportional to 6,439.59, 9,633.74 and 5,393.48

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Solution

The fourth proportional to 6,439.59, 9,633.74 and 5,393.48 is: 8,068.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,439.59 : 9,633.74 = 5,393.48 : x
  2. Step 2: Convert to fraction form
    6,439.59/9,633.74 = 5,393.48/x
  3. Step 3: Cross multiply
    6,439.59x = 9,633.74 × 5,393.48
  4. Step 4: Simplify right side
    6,439.59x = 51,959,308.88
  5. Step 5: Solve for x
    x = 51,959,308.88/6,439.59
  6. Step 6: Final answer
    x = 8,068.73

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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.