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Finding the Fourth Proportional to 9,002.27, 13,504.92 and 4,006.44

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Solution

The fourth proportional to 9,002.27, 13,504.92 and 4,006.44 is: 6,010.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,002.27 : 13,504.92 = 4,006.44 : x
  2. Step 2: Convert to fraction form
    9,002.27/13,504.92 = 4,006.44/x
  3. Step 3: Cross multiply
    9,002.27x = 13,504.92 × 4,006.44
  4. Step 4: Simplify right side
    9,002.27x = 54,106,651.68
  5. Step 5: Solve for x
    x = 54,106,651.68/9,002.27
  6. Step 6: Final answer
    x = 6,010.34

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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.