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Finding the Fourth Proportional to 6,596.37, 9,884.63 and 2,643.70

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Solution

The fourth proportional to 6,596.37, 9,884.63 and 2,643.70 is: 3,961.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,596.37 : 9,884.63 = 2,643.70 : x
  2. Step 2: Convert to fraction form
    6,596.37/9,884.63 = 2,643.70/x
  3. Step 3: Cross multiply
    6,596.37x = 9,884.63 × 2,643.70
  4. Step 4: Simplify right side
    6,596.37x = 26,131,996.33
  5. Step 5: Solve for x
    x = 26,131,996.33/6,596.37
  6. Step 6: Final answer
    x = 3,961.57

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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.