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Finding the Fourth Proportional to 6,101.96, 9,156.39 and 3,767.67

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Solution

The fourth proportional to 6,101.96, 9,156.39 and 3,767.67 is: 5,653.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,101.96 : 9,156.39 = 3,767.67 : x
  2. Step 2: Convert to fraction form
    6,101.96/9,156.39 = 3,767.67/x
  3. Step 3: Cross multiply
    6,101.96x = 9,156.39 × 3,767.67
  4. Step 4: Simplify right side
    6,101.96x = 34,498,255.91
  5. Step 5: Solve for x
    x = 34,498,255.91/6,101.96
  6. Step 6: Final answer
    x = 5,653.64

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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.