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Finding the Fourth Proportional to 6,561.41, 9,054.38 and 3,766.91

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Solution

The fourth proportional to 6,561.41, 9,054.38 and 3,766.91 is: 5,198.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,561.41 : 9,054.38 = 3,766.91 : x
  2. Step 2: Convert to fraction form
    6,561.41/9,054.38 = 3,766.91/x
  3. Step 3: Cross multiply
    6,561.41x = 9,054.38 × 3,766.91
  4. Step 4: Simplify right side
    6,561.41x = 34,106,998.71
  5. Step 5: Solve for x
    x = 34,106,998.71/6,561.41
  6. Step 6: Final answer
    x = 5,198.12

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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.