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Finding the Fourth Proportional to 6,343.66, 9,517.74 and 2,833.34

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Solution

The fourth proportional to 6,343.66, 9,517.74 and 2,833.34 is: 4,251.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,343.66 : 9,517.74 = 2,833.34 : x
  2. Step 2: Convert to fraction form
    6,343.66/9,517.74 = 2,833.34/x
  3. Step 3: Cross multiply
    6,343.66x = 9,517.74 × 2,833.34
  4. Step 4: Simplify right side
    6,343.66x = 26,967,017.25
  5. Step 5: Solve for x
    x = 26,967,017.25/6,343.66
  6. Step 6: Final answer
    x = 4,251.02

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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.