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Finding the Fourth Proportional to 6,674.26, 9,210.42 and 3,690.07

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Solution

The fourth proportional to 6,674.26, 9,210.42 and 3,690.07 is: 5,092.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,674.26 : 9,210.42 = 3,690.07 : x
  2. Step 2: Convert to fraction form
    6,674.26/9,210.42 = 3,690.07/x
  3. Step 3: Cross multiply
    6,674.26x = 9,210.42 × 3,690.07
  4. Step 4: Simplify right side
    6,674.26x = 33,987,089.64
  5. Step 5: Solve for x
    x = 33,987,089.64/6,674.26
  6. Step 6: Final answer
    x = 5,092.26

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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.