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Finding the Fourth Proportional to 6,860.72, 9,467.76 and 3,716.90

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Solution

The fourth proportional to 6,860.72, 9,467.76 and 3,716.90 is: 5,129.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,860.72 : 9,467.76 = 3,716.90 : x
  2. Step 2: Convert to fraction form
    6,860.72/9,467.76 = 3,716.90/x
  3. Step 3: Cross multiply
    6,860.72x = 9,467.76 × 3,716.90
  4. Step 4: Simplify right side
    6,860.72x = 35,190,717.14
  5. Step 5: Solve for x
    x = 35,190,717.14/6,860.72
  6. Step 6: Final answer
    x = 5,129.30

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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.