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Finding the Fourth Proportional to 6,855.26, 9,456.60 and 4,613.30

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Solution

The fourth proportional to 6,855.26, 9,456.60 and 4,613.30 is: 6,363.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,855.26 : 9,456.60 = 4,613.30 : x
  2. Step 2: Convert to fraction form
    6,855.26/9,456.60 = 4,613.30/x
  3. Step 3: Cross multiply
    6,855.26x = 9,456.60 × 4,613.30
  4. Step 4: Simplify right side
    6,855.26x = 43,626,132.78
  5. Step 5: Solve for x
    x = 43,626,132.78/6,855.26
  6. Step 6: Final answer
    x = 6,363.89

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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.