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Finding the Fourth Proportional to 6,027.46, 9,039.27 and 1,922.50

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Solution

The fourth proportional to 6,027.46, 9,039.27 and 1,922.50 is: 2,883.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,027.46 : 9,039.27 = 1,922.50 : x
  2. Step 2: Convert to fraction form
    6,027.46/9,039.27 = 1,922.50/x
  3. Step 3: Cross multiply
    6,027.46x = 9,039.27 × 1,922.50
  4. Step 4: Simplify right side
    6,027.46x = 17,377,996.58
  5. Step 5: Solve for x
    x = 17,377,996.58/6,027.46
  6. Step 6: Final answer
    x = 2,883.14

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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.