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Finding the Fourth Proportional to 6,942.70, 9,581.16 and 3,799.18

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Solution

The fourth proportional to 6,942.70, 9,581.16 and 3,799.18 is: 5,243.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,942.70 : 9,581.16 = 3,799.18 : x
  2. Step 2: Convert to fraction form
    6,942.70/9,581.16 = 3,799.18/x
  3. Step 3: Cross multiply
    6,942.70x = 9,581.16 × 3,799.18
  4. Step 4: Simplify right side
    6,942.70x = 36,400,541.74
  5. Step 5: Solve for x
    x = 36,400,541.74/6,942.70
  6. Step 6: Final answer
    x = 5,243.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.