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Finding the Fourth Proportional to 6,850.85, 9,454.25 and 4,330.33

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Solution

The fourth proportional to 6,850.85, 9,454.25 and 4,330.33 is: 5,975.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,850.85 : 9,454.25 = 4,330.33 : x
  2. Step 2: Convert to fraction form
    6,850.85/9,454.25 = 4,330.33/x
  3. Step 3: Cross multiply
    6,850.85x = 9,454.25 × 4,330.33
  4. Step 4: Simplify right side
    6,850.85x = 40,940,009.59
  5. Step 5: Solve for x
    x = 40,940,009.59/6,850.85
  6. Step 6: Final answer
    x = 5,975.91

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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.