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Finding the Fourth Proportional to 6,107.99, 9,161.55 and 1,947.83

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Solution

The fourth proportional to 6,107.99, 9,161.55 and 1,947.83 is: 2,921.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,107.99 : 9,161.55 = 1,947.83 : x
  2. Step 2: Convert to fraction form
    6,107.99/9,161.55 = 1,947.83/x
  3. Step 3: Cross multiply
    6,107.99x = 9,161.55 × 1,947.83
  4. Step 4: Simplify right side
    6,107.99x = 17,845,096.13
  5. Step 5: Solve for x
    x = 17,845,096.13/6,107.99
  6. Step 6: Final answer
    x = 2,921.60

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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.