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Finding the Fourth Proportional to 6,606.14, 9,889.77 and 3,680.42

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Solution

The fourth proportional to 6,606.14, 9,889.77 and 3,680.42 is: 5,509.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,606.14 : 9,889.77 = 3,680.42 : x
  2. Step 2: Convert to fraction form
    6,606.14/9,889.77 = 3,680.42/x
  3. Step 3: Cross multiply
    6,606.14x = 9,889.77 × 3,680.42
  4. Step 4: Simplify right side
    6,606.14x = 36,398,507.30
  5. Step 5: Solve for x
    x = 36,398,507.30/6,606.14
  6. Step 6: Final answer
    x = 5,509.80

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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.