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Finding the Fourth Proportional to 6,550.75, 9,040.12 and 3,566.67

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Solution

The fourth proportional to 6,550.75, 9,040.12 and 3,566.67 is: 4,922.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,550.75 : 9,040.12 = 3,566.67 : x
  2. Step 2: Convert to fraction form
    6,550.75/9,040.12 = 3,566.67/x
  3. Step 3: Cross multiply
    6,550.75x = 9,040.12 × 3,566.67
  4. Step 4: Simplify right side
    6,550.75x = 32,243,124.80
  5. Step 5: Solve for x
    x = 32,243,124.80/6,550.75
  6. Step 6: Final answer
    x = 4,922.05

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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.