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Finding the Fourth Proportional to 6,716.85, 9,266.60 and 3,883.71

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Solution

The fourth proportional to 6,716.85, 9,266.60 and 3,883.71 is: 5,357.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,716.85 : 9,266.60 = 3,883.71 : x
  2. Step 2: Convert to fraction form
    6,716.85/9,266.60 = 3,883.71/x
  3. Step 3: Cross multiply
    6,716.85x = 9,266.60 × 3,883.71
  4. Step 4: Simplify right side
    6,716.85x = 35,988,740.75
  5. Step 5: Solve for x
    x = 35,988,740.75/6,716.85
  6. Step 6: Final answer
    x = 5,357.98

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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.