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Finding the Fourth Proportional to 6,406.82, 8,841.13 and 4,727.62

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Solution

The fourth proportional to 6,406.82, 8,841.13 and 4,727.62 is: 6,523.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,406.82 : 8,841.13 = 4,727.62 : x
  2. Step 2: Convert to fraction form
    6,406.82/8,841.13 = 4,727.62/x
  3. Step 3: Cross multiply
    6,406.82x = 8,841.13 × 4,727.62
  4. Step 4: Simplify right side
    6,406.82x = 41,797,503.01
  5. Step 5: Solve for x
    x = 41,797,503.01/6,406.82
  6. Step 6: Final answer
    x = 6,523.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.