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Finding the Fourth Proportional to 6,860.65, 9,467.74 and 3,716.84

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Solution

The fourth proportional to 6,860.65, 9,467.74 and 3,716.84 is: 5,129.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,860.65 : 9,467.74 = 3,716.84 : x
  2. Step 2: Convert to fraction form
    6,860.65/9,467.74 = 3,716.84/x
  3. Step 3: Cross multiply
    6,860.65x = 9,467.74 × 3,716.84
  4. Step 4: Simplify right side
    6,860.65x = 35,190,028.89
  5. Step 5: Solve for x
    x = 35,190,028.89/6,860.65
  6. Step 6: Final answer
    x = 5,129.26

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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.