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Finding the Fourth Proportional to 6,593.09, 9,889.63 and 1,976.09

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Solution

The fourth proportional to 6,593.09, 9,889.63 and 1,976.09 is: 2,964.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,593.09 : 9,889.63 = 1,976.09 : x
  2. Step 2: Convert to fraction form
    6,593.09/9,889.63 = 1,976.09/x
  3. Step 3: Cross multiply
    6,593.09x = 9,889.63 × 1,976.09
  4. Step 4: Simplify right side
    6,593.09x = 19,542,808.21
  5. Step 5: Solve for x
    x = 19,542,808.21/6,593.09
  6. Step 6: Final answer
    x = 2,964.13

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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.