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Finding the Fourth Proportional to 6,448.01, 9,674.97 and 3,820.72

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Solution

The fourth proportional to 6,448.01, 9,674.97 and 3,820.72 is: 5,732.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,448.01 : 9,674.97 = 3,820.72 : x
  2. Step 2: Convert to fraction form
    6,448.01/9,674.97 = 3,820.72/x
  3. Step 3: Cross multiply
    6,448.01x = 9,674.97 × 3,820.72
  4. Step 4: Simplify right side
    6,448.01x = 36,965,341.75
  5. Step 5: Solve for x
    x = 36,965,341.75/6,448.01
  6. Step 6: Final answer
    x = 5,732.83

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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.