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Finding the Fourth Proportional to 6,071.95, 9,107.93 and 1,912.24

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Solution

The fourth proportional to 6,071.95, 9,107.93 and 1,912.24 is: 2,868.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,071.95 : 9,107.93 = 1,912.24 : x
  2. Step 2: Convert to fraction form
    6,071.95/9,107.93 = 1,912.24/x
  3. Step 3: Cross multiply
    6,071.95x = 9,107.93 × 1,912.24
  4. Step 4: Simplify right side
    6,071.95x = 17,416,548.06
  5. Step 5: Solve for x
    x = 17,416,548.06/6,071.95
  6. Step 6: Final answer
    x = 2,868.36

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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.