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Finding the Fourth Proportional to 6,205.76, 9,309.04 and 2,743

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Solution

The fourth proportional to 6,205.76, 9,309.04 and 2,743 is: 4,114.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,205.76 : 9,309.04 = 2,743 : x
  2. Step 2: Convert to fraction form
    6,205.76/9,309.04 = 2,743/x
  3. Step 3: Cross multiply
    6,205.76x = 9,309.04 × 2,743
  4. Step 4: Simplify right side
    6,205.76x = 25,534,696.72
  5. Step 5: Solve for x
    x = 25,534,696.72/6,205.76
  6. Step 6: Final answer
    x = 4,114.68

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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.