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Finding the Fourth Proportional to 6,853.26, 9,452.62 and 4,729.60

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Solution

The fourth proportional to 6,853.26, 9,452.62 and 4,729.60 is: 6,523.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,853.26 : 9,452.62 = 4,729.60 : x
  2. Step 2: Convert to fraction form
    6,853.26/9,452.62 = 4,729.60/x
  3. Step 3: Cross multiply
    6,853.26x = 9,452.62 × 4,729.60
  4. Step 4: Simplify right side
    6,853.26x = 44,707,111.55
  5. Step 5: Solve for x
    x = 44,707,111.55/6,853.26
  6. Step 6: Final answer
    x = 6,523.48

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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.