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Finding the Fourth Proportional to 8,454.18, 12,682.86 and 2,609.42

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Solution

The fourth proportional to 8,454.18, 12,682.86 and 2,609.42 is: 3,914.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,454.18 : 12,682.86 = 2,609.42 : x
  2. Step 2: Convert to fraction form
    8,454.18/12,682.86 = 2,609.42/x
  3. Step 3: Cross multiply
    8,454.18x = 12,682.86 × 2,609.42
  4. Step 4: Simplify right side
    8,454.18x = 33,094,950.03
  5. Step 5: Solve for x
    x = 33,094,950.03/8,454.18
  6. Step 6: Final answer
    x = 3,914.63

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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.