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Finding the Fourth Proportional to 6,214.74, 8,575.35 and 3,561.66

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Solution

The fourth proportional to 6,214.74, 8,575.35 and 3,561.66 is: 4,914.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,214.74 : 8,575.35 = 3,561.66 : x
  2. Step 2: Convert to fraction form
    6,214.74/8,575.35 = 3,561.66/x
  3. Step 3: Cross multiply
    6,214.74x = 8,575.35 × 3,561.66
  4. Step 4: Simplify right side
    6,214.74x = 30,542,481.08
  5. Step 5: Solve for x
    x = 30,542,481.08/6,214.74
  6. Step 6: Final answer
    x = 4,914.52

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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.