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Finding the Fourth Proportional to 6,364.26, 9,542.56 and 2,853.63

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Solution

The fourth proportional to 6,364.26, 9,542.56 and 2,853.63 is: 4,278.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,364.26 : 9,542.56 = 2,853.63 : x
  2. Step 2: Convert to fraction form
    6,364.26/9,542.56 = 2,853.63/x
  3. Step 3: Cross multiply
    6,364.26x = 9,542.56 × 2,853.63
  4. Step 4: Simplify right side
    6,364.26x = 27,230,957.01
  5. Step 5: Solve for x
    x = 27,230,957.01/6,364.26
  6. Step 6: Final answer
    x = 4,278.73

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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.