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Finding the Fourth Proportional to 6,665.61, 9,198.62 and 3,834.39

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Solution

The fourth proportional to 6,665.61, 9,198.62 and 3,834.39 is: 5,291.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,665.61 : 9,198.62 = 3,834.39 : x
  2. Step 2: Convert to fraction form
    6,665.61/9,198.62 = 3,834.39/x
  3. Step 3: Cross multiply
    6,665.61x = 9,198.62 × 3,834.39
  4. Step 4: Simplify right side
    6,665.61x = 35,271,077.37
  5. Step 5: Solve for x
    x = 35,271,077.37/6,665.61
  6. Step 6: Final answer
    x = 5,291.50

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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.