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Finding the Fourth Proportional to 6,123.67, 8,448.98 and 3,884.42

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Solution

The fourth proportional to 6,123.67, 8,448.98 and 3,884.42 is: 5,359.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,123.67 : 8,448.98 = 3,884.42 : x
  2. Step 2: Convert to fraction form
    6,123.67/8,448.98 = 3,884.42/x
  3. Step 3: Cross multiply
    6,123.67x = 8,448.98 × 3,884.42
  4. Step 4: Simplify right side
    6,123.67x = 32,819,388.59
  5. Step 5: Solve for x
    x = 32,819,388.59/6,123.67
  6. Step 6: Final answer
    x = 5,359.43

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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.