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Finding the Fourth Proportional to 6,098.90, 9,146.98 and 3,634.42

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Solution

The fourth proportional to 6,098.90, 9,146.98 and 3,634.42 is: 5,450.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,098.90 : 9,146.98 = 3,634.42 : x
  2. Step 2: Convert to fraction form
    6,098.90/9,146.98 = 3,634.42/x
  3. Step 3: Cross multiply
    6,098.90x = 9,146.98 × 3,634.42
  4. Step 4: Simplify right side
    6,098.90x = 33,243,967.05
  5. Step 5: Solve for x
    x = 33,243,967.05/6,098.90
  6. Step 6: Final answer
    x = 5,450.81

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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.