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Finding the Fourth Proportional to 6,071.73, 9,108.83 and 2,561.74

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Solution

The fourth proportional to 6,071.73, 9,108.83 and 2,561.74 is: 3,843.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,071.73 : 9,108.83 = 2,561.74 : x
  2. Step 2: Convert to fraction form
    6,071.73/9,108.83 = 2,561.74/x
  3. Step 3: Cross multiply
    6,071.73x = 9,108.83 × 2,561.74
  4. Step 4: Simplify right side
    6,071.73x = 23,334,489.03
  5. Step 5: Solve for x
    x = 23,334,489.03/6,071.73
  6. Step 6: Final answer
    x = 3,843.14

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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.