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Finding the Fourth Proportional to 6,106.36, 9,161.13 and 2,596.49

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Solution

The fourth proportional to 6,106.36, 9,161.13 and 2,596.49 is: 3,895.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,106.36 : 9,161.13 = 2,596.49 : x
  2. Step 2: Convert to fraction form
    6,106.36/9,161.13 = 2,596.49/x
  3. Step 3: Cross multiply
    6,106.36x = 9,161.13 × 2,596.49
  4. Step 4: Simplify right side
    6,106.36x = 23,786,782.43
  5. Step 5: Solve for x
    x = 23,786,782.43/6,106.36
  6. Step 6: Final answer
    x = 3,895.41

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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.