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Finding the Fourth Proportional to 6,474.77, 9,709.70 and 2,091.05

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Solution

The fourth proportional to 6,474.77, 9,709.70 and 2,091.05 is: 3,135.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,474.77 : 9,709.70 = 2,091.05 : x
  2. Step 2: Convert to fraction form
    6,474.77/9,709.70 = 2,091.05/x
  3. Step 3: Cross multiply
    6,474.77x = 9,709.70 × 2,091.05
  4. Step 4: Simplify right side
    6,474.77x = 20,303,419.64
  5. Step 5: Solve for x
    x = 20,303,419.64/6,474.77
  6. Step 6: Final answer
    x = 3,135.78

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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.