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Finding the Fourth Proportional to 6,098.36, 9,151.38 and 3,178.71

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Solution

The fourth proportional to 6,098.36, 9,151.38 and 3,178.71 is: 4,770.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,098.36 : 9,151.38 = 3,178.71 : x
  2. Step 2: Convert to fraction form
    6,098.36/9,151.38 = 3,178.71/x
  3. Step 3: Cross multiply
    6,098.36x = 9,151.38 × 3,178.71
  4. Step 4: Simplify right side
    6,098.36x = 29,089,583.12
  5. Step 5: Solve for x
    x = 29,089,583.12/6,098.36
  6. Step 6: Final answer
    x = 4,770.07

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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.