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Finding the Fourth Proportional to 9,101.90, 13,654.03 and 3,179.98

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Solution

The fourth proportional to 9,101.90, 13,654.03 and 3,179.98 is: 4,770.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,101.90 : 13,654.03 = 3,179.98 : x
  2. Step 2: Convert to fraction form
    9,101.90/13,654.03 = 3,179.98/x
  3. Step 3: Cross multiply
    9,101.90x = 13,654.03 × 3,179.98
  4. Step 4: Simplify right side
    9,101.90x = 43,419,542.32
  5. Step 5: Solve for x
    x = 43,419,542.32/9,101.90
  6. Step 6: Final answer
    x = 4,770.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.