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Finding the Fourth Proportional to 6,423.14, 8,862.45 and 3,770.42

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Solution

The fourth proportional to 6,423.14, 8,862.45 and 3,770.42 is: 5,202.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,423.14 : 8,862.45 = 3,770.42 : x
  2. Step 2: Convert to fraction form
    6,423.14/8,862.45 = 3,770.42/x
  3. Step 3: Cross multiply
    6,423.14x = 8,862.45 × 3,770.42
  4. Step 4: Simplify right side
    6,423.14x = 33,415,158.73
  5. Step 5: Solve for x
    x = 33,415,158.73/6,423.14
  6. Step 6: Final answer
    x = 5,202.31

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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.