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Finding the Fourth Proportional to 6,208.25, 9,297.18 and 4,010.31

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Solution

The fourth proportional to 6,208.25, 9,297.18 and 4,010.31 is: 6,005.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,208.25 : 9,297.18 = 4,010.31 : x
  2. Step 2: Convert to fraction form
    6,208.25/9,297.18 = 4,010.31/x
  3. Step 3: Cross multiply
    6,208.25x = 9,297.18 × 4,010.31
  4. Step 4: Simplify right side
    6,208.25x = 37,284,573.93
  5. Step 5: Solve for x
    x = 37,284,573.93/6,208.25
  6. Step 6: Final answer
    x = 6,005.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.