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Finding the Fourth Proportional to 6,493.38, 9,739.98 and 5,336.70

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Solution

The fourth proportional to 6,493.38, 9,739.98 and 5,336.70 is: 8,004.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,493.38 : 9,739.98 = 5,336.70 : x
  2. Step 2: Convert to fraction form
    6,493.38/9,739.98 = 5,336.70/x
  3. Step 3: Cross multiply
    6,493.38x = 9,739.98 × 5,336.70
  4. Step 4: Simplify right side
    6,493.38x = 51,979,351.27
  5. Step 5: Solve for x
    x = 51,979,351.27/6,493.38
  6. Step 6: Final answer
    x = 8,004.98

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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.