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Finding the Fourth Proportional to 6,949.85, 9,590.41 and 3,805.43

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Solution

The fourth proportional to 6,949.85, 9,590.41 and 3,805.43 is: 5,251.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,949.85 : 9,590.41 = 3,805.43 : x
  2. Step 2: Convert to fraction form
    6,949.85/9,590.41 = 3,805.43/x
  3. Step 3: Cross multiply
    6,949.85x = 9,590.41 × 3,805.43
  4. Step 4: Simplify right side
    6,949.85x = 36,495,633.93
  5. Step 5: Solve for x
    x = 36,495,633.93/6,949.85
  6. Step 6: Final answer
    x = 5,251.28

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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.