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Finding the Fourth Proportional to 6,071.94, 9,108.56 and 1,912.07

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Solution

The fourth proportional to 6,071.94, 9,108.56 and 1,912.07 is: 2,868.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,071.94 : 9,108.56 = 1,912.07 : x
  2. Step 2: Convert to fraction form
    6,071.94/9,108.56 = 1,912.07/x
  3. Step 3: Cross multiply
    6,071.94x = 9,108.56 × 1,912.07
  4. Step 4: Simplify right side
    6,071.94x = 17,416,231.87
  5. Step 5: Solve for x
    x = 17,416,231.87/6,071.94
  6. Step 6: Final answer
    x = 2,868.31

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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.