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Finding the Fourth Proportional to 6,701.67, 9,247.51 and 3,716.78

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Solution

The fourth proportional to 6,701.67, 9,247.51 and 3,716.78 is: 5,128.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,701.67 : 9,247.51 = 3,716.78 : x
  2. Step 2: Convert to fraction form
    6,701.67/9,247.51 = 3,716.78/x
  3. Step 3: Cross multiply
    6,701.67x = 9,247.51 × 3,716.78
  4. Step 4: Simplify right side
    6,701.67x = 34,370,904.69
  5. Step 5: Solve for x
    x = 34,370,904.69/6,701.67
  6. Step 6: Final answer
    x = 5,128.71

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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.