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Finding the Fourth Proportional to 6,406.49, 9,581.96 and 3,767.72

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Solution

The fourth proportional to 6,406.49, 9,581.96 and 3,767.72 is: 5,635.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,406.49 : 9,581.96 = 3,767.72 : x
  2. Step 2: Convert to fraction form
    6,406.49/9,581.96 = 3,767.72/x
  3. Step 3: Cross multiply
    6,406.49x = 9,581.96 × 3,767.72
  4. Step 4: Simplify right side
    6,406.49x = 36,102,103.84
  5. Step 5: Solve for x
    x = 36,102,103.84/6,406.49
  6. Step 6: Final answer
    x = 5,635.24

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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.