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Finding the Fourth Proportional to 6,944.85, 9,583.89 and 3,920.63

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Solution

The fourth proportional to 6,944.85, 9,583.89 and 3,920.63 is: 5,410.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,944.85 : 9,583.89 = 3,920.63 : x
  2. Step 2: Convert to fraction form
    6,944.85/9,583.89 = 3,920.63/x
  3. Step 3: Cross multiply
    6,944.85x = 9,583.89 × 3,920.63
  4. Step 4: Simplify right side
    6,944.85x = 37,574,838.73
  5. Step 5: Solve for x
    x = 37,574,838.73/6,944.85
  6. Step 6: Final answer
    x = 5,410.46

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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.