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Finding the Fourth Proportional to 6,526.99, 9,791.09 and 1,847.01

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Solution

The fourth proportional to 6,526.99, 9,791.09 and 1,847.01 is: 2,770.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,526.99 : 9,791.09 = 1,847.01 : x
  2. Step 2: Convert to fraction form
    6,526.99/9,791.09 = 1,847.01/x
  3. Step 3: Cross multiply
    6,526.99x = 9,791.09 × 1,847.01
  4. Step 4: Simplify right side
    6,526.99x = 18,084,241.14
  5. Step 5: Solve for x
    x = 18,084,241.14/6,526.99
  6. Step 6: Final answer
    x = 2,770.69

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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.