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Finding the Fourth Proportional to 9,137.75, 12,612.46 and 5,958.98

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Solution

The fourth proportional to 9,137.75, 12,612.46 and 5,958.98 is: 8,224.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,137.75 : 12,612.46 = 5,958.98 : x
  2. Step 2: Convert to fraction form
    9,137.75/12,612.46 = 5,958.98/x
  3. Step 3: Cross multiply
    9,137.75x = 12,612.46 × 5,958.98
  4. Step 4: Simplify right side
    9,137.75x = 75,157,333.83
  5. Step 5: Solve for x
    x = 75,157,333.83/9,137.75
  6. Step 6: Final answer
    x = 8,224.93

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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.