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Finding the Fourth Proportional to 6,949.89, 9,590.96 and 3,805.88

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Solution

The fourth proportional to 6,949.89, 9,590.96 and 3,805.88 is: 5,252.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,949.89 : 9,590.96 = 3,805.88 : x
  2. Step 2: Convert to fraction form
    6,949.89/9,590.96 = 3,805.88/x
  3. Step 3: Cross multiply
    6,949.89x = 9,590.96 × 3,805.88
  4. Step 4: Simplify right side
    6,949.89x = 36,501,975.86
  5. Step 5: Solve for x
    x = 36,501,975.86/6,949.89
  6. Step 6: Final answer
    x = 5,252.17

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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.