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Finding the Fourth Proportional to 6,858.90, 9,467.01 and 3,876.53

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Solution

The fourth proportional to 6,858.90, 9,467.01 and 3,876.53 is: 5,350.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,858.90 : 9,467.01 = 3,876.53 : x
  2. Step 2: Convert to fraction form
    6,858.90/9,467.01 = 3,876.53/x
  3. Step 3: Cross multiply
    6,858.90x = 9,467.01 × 3,876.53
  4. Step 4: Simplify right side
    6,858.90x = 36,699,100.94
  5. Step 5: Solve for x
    x = 36,699,100.94/6,858.90
  6. Step 6: Final answer
    x = 5,350.58

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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.