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Finding the Fourth Proportional to 6,594.42, 9,893.49 and 3,674.82

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Solution

The fourth proportional to 6,594.42, 9,893.49 and 3,674.82 is: 5,513.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,594.42 : 9,893.49 = 3,674.82 : x
  2. Step 2: Convert to fraction form
    6,594.42/9,893.49 = 3,674.82/x
  3. Step 3: Cross multiply
    6,594.42x = 9,893.49 × 3,674.82
  4. Step 4: Simplify right side
    6,594.42x = 36,356,794.92
  5. Step 5: Solve for x
    x = 36,356,794.92/6,594.42
  6. Step 6: Final answer
    x = 5,513.27

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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.