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Finding the Fourth Proportional to 6,364.36, 9,545.94 and 3,897.92

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Solution

The fourth proportional to 6,364.36, 9,545.94 and 3,897.92 is: 5,846.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,364.36 : 9,545.94 = 3,897.92 : x
  2. Step 2: Convert to fraction form
    6,364.36/9,545.94 = 3,897.92/x
  3. Step 3: Cross multiply
    6,364.36x = 9,545.94 × 3,897.92
  4. Step 4: Simplify right side
    6,364.36x = 37,209,310.44
  5. Step 5: Solve for x
    x = 37,209,310.44/6,364.36
  6. Step 6: Final answer
    x = 5,846.51

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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.