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Finding the Fourth Proportional to 6,293.56, 9,439.73 and 1,911.06

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Solution

The fourth proportional to 6,293.56, 9,439.73 and 1,911.06 is: 2,866.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,293.56 : 9,439.73 = 1,911.06 : x
  2. Step 2: Convert to fraction form
    6,293.56/9,439.73 = 1,911.06/x
  3. Step 3: Cross multiply
    6,293.56x = 9,439.73 × 1,911.06
  4. Step 4: Simplify right side
    6,293.56x = 18,039,843.22
  5. Step 5: Solve for x
    x = 18,039,843.22/6,293.56
  6. Step 6: Final answer
    x = 2,866.40

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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.