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Finding the Fourth Proportional to 6,846.57, 9,448.26 and 3,702.75

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Solution

The fourth proportional to 6,846.57, 9,448.26 and 3,702.75 is: 5,109.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,846.57 : 9,448.26 = 3,702.75 : x
  2. Step 2: Convert to fraction form
    6,846.57/9,448.26 = 3,702.75/x
  3. Step 3: Cross multiply
    6,846.57x = 9,448.26 × 3,702.75
  4. Step 4: Simplify right side
    6,846.57x = 34,984,544.72
  5. Step 5: Solve for x
    x = 34,984,544.72/6,846.57
  6. Step 6: Final answer
    x = 5,109.79

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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.