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Finding the Fourth Proportional to 9,138.60, 12,606.12 and 6,481.44

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Solution

The fourth proportional to 9,138.60, 12,606.12 and 6,481.44 is: 8,940.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,138.60 : 12,606.12 = 6,481.44 : x
  2. Step 2: Convert to fraction form
    9,138.60/12,606.12 = 6,481.44/x
  3. Step 3: Cross multiply
    9,138.60x = 12,606.12 × 6,481.44
  4. Step 4: Simplify right side
    9,138.60x = 81,705,810.41
  5. Step 5: Solve for x
    x = 81,705,810.41/9,138.60
  6. Step 6: Final answer
    x = 8,940.74

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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.