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Finding the Fourth Proportional to 6,071.36, 9,108.32 and 1,912.55

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Solution

The fourth proportional to 6,071.36, 9,108.32 and 1,912.55 is: 2,869.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,071.36 : 9,108.32 = 1,912.55 : x
  2. Step 2: Convert to fraction form
    6,071.36/9,108.32 = 1,912.55/x
  3. Step 3: Cross multiply
    6,071.36x = 9,108.32 × 1,912.55
  4. Step 4: Simplify right side
    6,071.36x = 17,420,062.31
  5. Step 5: Solve for x
    x = 17,420,062.31/6,071.36
  6. Step 6: Final answer
    x = 2,869.22

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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.