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Finding the Fourth Proportional to 6,352.23, 8,766.40 and 3,834.31

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Solution

The fourth proportional to 6,352.23, 8,766.40 and 3,834.31 is: 5,291.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,352.23 : 8,766.40 = 3,834.31 : x
  2. Step 2: Convert to fraction form
    6,352.23/8,766.40 = 3,834.31/x
  3. Step 3: Cross multiply
    6,352.23x = 8,766.40 × 3,834.31
  4. Step 4: Simplify right side
    6,352.23x = 33,613,051.35
  5. Step 5: Solve for x
    x = 33,613,051.35/6,352.23
  6. Step 6: Final answer
    x = 5,291.54

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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.