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Finding the Fourth Proportional to 7,094.89, 9,790.83 and 3,908.49

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Solution

The fourth proportional to 7,094.89, 9,790.83 and 3,908.49 is: 5,393.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,094.89 : 9,790.83 = 3,908.49 : x
  2. Step 2: Convert to fraction form
    7,094.89/9,790.83 = 3,908.49/x
  3. Step 3: Cross multiply
    7,094.89x = 9,790.83 × 3,908.49
  4. Step 4: Simplify right side
    7,094.89x = 38,267,375.80
  5. Step 5: Solve for x
    x = 38,267,375.80/7,094.89
  6. Step 6: Final answer
    x = 5,393.65

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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.