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Finding the Fourth Proportional to 6,860.75, 9,470.48 and 4,211.73

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Solution

The fourth proportional to 6,860.75, 9,470.48 and 4,211.73 is: 5,813.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,860.75 : 9,470.48 = 4,211.73 : x
  2. Step 2: Convert to fraction form
    6,860.75/9,470.48 = 4,211.73/x
  3. Step 3: Cross multiply
    6,860.75x = 9,470.48 × 4,211.73
  4. Step 4: Simplify right side
    6,860.75x = 39,887,083.67
  5. Step 5: Solve for x
    x = 39,887,083.67/6,860.75
  6. Step 6: Final answer
    x = 5,813.81

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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.