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Finding the Fourth Proportional to 6,100.49, 9,137.98 and 3,898.03

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Solution

The fourth proportional to 6,100.49, 9,137.98 and 3,898.03 is: 5,838.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,100.49 : 9,137.98 = 3,898.03 : x
  2. Step 2: Convert to fraction form
    6,100.49/9,137.98 = 3,898.03/x
  3. Step 3: Cross multiply
    6,100.49x = 9,137.98 × 3,898.03
  4. Step 4: Simplify right side
    6,100.49x = 35,620,120.18
  5. Step 5: Solve for x
    x = 35,620,120.18/6,100.49
  6. Step 6: Final answer
    x = 5,838.89

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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.