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Finding the Fourth Proportional to 6,091.81, 9,140.74 and 2,807.21

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Solution

The fourth proportional to 6,091.81, 9,140.74 and 2,807.21 is: 4,212.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,091.81 : 9,140.74 = 2,807.21 : x
  2. Step 2: Convert to fraction form
    6,091.81/9,140.74 = 2,807.21/x
  3. Step 3: Cross multiply
    6,091.81x = 9,140.74 × 2,807.21
  4. Step 4: Simplify right side
    6,091.81x = 25,659,992.57
  5. Step 5: Solve for x
    x = 25,659,992.57/6,091.81
  6. Step 6: Final answer
    x = 4,212.21

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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.