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Finding the Fourth Proportional to 6,860.81, 9,467.82 and 3,876.55

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Solution

The fourth proportional to 6,860.81, 9,467.82 and 3,876.55 is: 5,349.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,860.81 : 9,467.82 = 3,876.55 : x
  2. Step 2: Convert to fraction form
    6,860.81/9,467.82 = 3,876.55/x
  3. Step 3: Cross multiply
    6,860.81x = 9,467.82 × 3,876.55
  4. Step 4: Simplify right side
    6,860.81x = 36,702,477.62
  5. Step 5: Solve for x
    x = 36,702,477.62/6,860.81
  6. Step 6: Final answer
    x = 5,349.58

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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.