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Finding the Fourth Proportional to 9,255.75, 12,740.83 and 8,074.77

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Solution

The fourth proportional to 9,255.75, 12,740.83 and 8,074.77 is: 11,115.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,255.75 : 12,740.83 = 8,074.77 : x
  2. Step 2: Convert to fraction form
    9,255.75/12,740.83 = 8,074.77/x
  3. Step 3: Cross multiply
    9,255.75x = 12,740.83 × 8,074.77
  4. Step 4: Simplify right side
    9,255.75x = 102,879,271.86
  5. Step 5: Solve for x
    x = 102,879,271.86/9,255.75
  6. Step 6: Final answer
    x = 11,115.17

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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.