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Finding the Fourth Proportional to 9,144.91, 12,625.42 and 5,790.60

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Solution

The fourth proportional to 9,144.91, 12,625.42 and 5,790.60 is: 7,994.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,144.91 : 12,625.42 = 5,790.60 : x
  2. Step 2: Convert to fraction form
    9,144.91/12,625.42 = 5,790.60/x
  3. Step 3: Cross multiply
    9,144.91x = 12,625.42 × 5,790.60
  4. Step 4: Simplify right side
    9,144.91x = 73,108,757.05
  5. Step 5: Solve for x
    x = 73,108,757.05/9,144.91
  6. Step 6: Final answer
    x = 7,994.48

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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.