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Finding the Fourth Proportional to 6,725.26, 9,280.53 and 3,741.07

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Solution

The fourth proportional to 6,725.26, 9,280.53 and 3,741.07 is: 5,162.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,725.26 : 9,280.53 = 3,741.07 : x
  2. Step 2: Convert to fraction form
    6,725.26/9,280.53 = 3,741.07/x
  3. Step 3: Cross multiply
    6,725.26x = 9,280.53 × 3,741.07
  4. Step 4: Simplify right side
    6,725.26x = 34,719,112.37
  5. Step 5: Solve for x
    x = 34,719,112.37/6,725.26
  6. Step 6: Final answer
    x = 5,162.49

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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.