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Finding the Fourth Proportional to 6,209.82, 9,311.16 and 2,048.67

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Solution

The fourth proportional to 6,209.82, 9,311.16 and 2,048.67 is: 3,071.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,209.82 : 9,311.16 = 2,048.67 : x
  2. Step 2: Convert to fraction form
    6,209.82/9,311.16 = 2,048.67/x
  3. Step 3: Cross multiply
    6,209.82x = 9,311.16 × 2,048.67
  4. Step 4: Simplify right side
    6,209.82x = 19,075,494.16
  5. Step 5: Solve for x
    x = 19,075,494.16/6,209.82
  6. Step 6: Final answer
    x = 3,071.83

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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.