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Finding the Fourth Proportional to 6,550.17, 9,816.90 and 2,851.40

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Solution

The fourth proportional to 6,550.17, 9,816.90 and 2,851.40 is: 4,273.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,550.17 : 9,816.90 = 2,851.40 : x
  2. Step 2: Convert to fraction form
    6,550.17/9,816.90 = 2,851.40/x
  3. Step 3: Cross multiply
    6,550.17x = 9,816.90 × 2,851.40
  4. Step 4: Simplify right side
    6,550.17x = 27,991,922.51
  5. Step 5: Solve for x
    x = 27,991,922.51/6,550.17
  6. Step 6: Final answer
    x = 4,273.47

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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.