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Finding the Fourth Proportional to 6,736.26, 9,295.74 and 3,752.07

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Solution

The fourth proportional to 6,736.26, 9,295.74 and 3,752.07 is: 5,177.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,736.26 : 9,295.74 = 3,752.07 : x
  2. Step 2: Convert to fraction form
    6,736.26/9,295.74 = 3,752.07/x
  3. Step 3: Cross multiply
    6,736.26x = 9,295.74 × 3,752.07
  4. Step 4: Simplify right side
    6,736.26x = 34,878,274.06
  5. Step 5: Solve for x
    x = 34,878,274.06/6,736.26
  6. Step 6: Final answer
    x = 5,177.69

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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.