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Finding the Fourth Proportional to 9,138.42, 12,662.60 and 8,934.30

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Solution

The fourth proportional to 9,138.42, 12,662.60 and 8,934.30 is: 12,379.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,138.42 : 12,662.60 = 8,934.30 : x
  2. Step 2: Convert to fraction form
    9,138.42/12,662.60 = 8,934.30/x
  3. Step 3: Cross multiply
    9,138.42x = 12,662.60 × 8,934.30
  4. Step 4: Simplify right side
    9,138.42x = 113,131,422.51
  5. Step 5: Solve for x
    x = 113,131,422.51/9,138.42
  6. Step 6: Final answer
    x = 12,379.76

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.