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Finding the Fourth Proportional to 6,323.85, 8,725.46 and 3,805.16

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Solution

The fourth proportional to 6,323.85, 8,725.46 and 3,805.16 is: 5,250.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,323.85 : 8,725.46 = 3,805.16 : x
  2. Step 2: Convert to fraction form
    6,323.85/8,725.46 = 3,805.16/x
  3. Step 3: Cross multiply
    6,323.85x = 8,725.46 × 3,805.16
  4. Step 4: Simplify right side
    6,323.85x = 33,201,708.72
  5. Step 5: Solve for x
    x = 33,201,708.72/6,323.85
  6. Step 6: Final answer
    x = 5,250.24

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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.