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Finding the Fourth Proportional to 6,902.07, 9,524.82 and 3,758.19

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Solution

The fourth proportional to 6,902.07, 9,524.82 and 3,758.19 is: 5,186.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,902.07 : 9,524.82 = 3,758.19 : x
  2. Step 2: Convert to fraction form
    6,902.07/9,524.82 = 3,758.19/x
  3. Step 3: Cross multiply
    6,902.07x = 9,524.82 × 3,758.19
  4. Step 4: Simplify right side
    6,902.07x = 35,796,035.65
  5. Step 5: Solve for x
    x = 35,796,035.65/6,902.07
  6. Step 6: Final answer
    x = 5,186.28

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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.