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Finding the Fourth Proportional to 6,550.95, 9,035.46 and 4,161.72

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Solution

The fourth proportional to 6,550.95, 9,035.46 and 4,161.72 is: 5,740.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,550.95 : 9,035.46 = 4,161.72 : x
  2. Step 2: Convert to fraction form
    6,550.95/9,035.46 = 4,161.72/x
  3. Step 3: Cross multiply
    6,550.95x = 9,035.46 × 4,161.72
  4. Step 4: Simplify right side
    6,550.95x = 37,603,054.59
  5. Step 5: Solve for x
    x = 37,603,054.59/6,550.95
  6. Step 6: Final answer
    x = 5,740.09

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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.