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Finding the Fourth Proportional to 6,274.70, 9,409.68 and 2,762.27

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Solution

The fourth proportional to 6,274.70, 9,409.68 and 2,762.27 is: 4,142.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,274.70 : 9,409.68 = 2,762.27 : x
  2. Step 2: Convert to fraction form
    6,274.70/9,409.68 = 2,762.27/x
  3. Step 3: Cross multiply
    6,274.70x = 9,409.68 × 2,762.27
  4. Step 4: Simplify right side
    6,274.70x = 25,992,029.73
  5. Step 5: Solve for x
    x = 25,992,029.73/6,274.70
  6. Step 6: Final answer
    x = 4,142.36

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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.