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Finding the Fourth Proportional to 9,012.61, 13,519.26 and 2,438.80

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Solution

The fourth proportional to 9,012.61, 13,519.26 and 2,438.80 is: 3,658.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,012.61 : 13,519.26 = 2,438.80 : x
  2. Step 2: Convert to fraction form
    9,012.61/13,519.26 = 2,438.80/x
  3. Step 3: Cross multiply
    9,012.61x = 13,519.26 × 2,438.80
  4. Step 4: Simplify right side
    9,012.61x = 32,970,771.29
  5. Step 5: Solve for x
    x = 32,970,771.29/9,012.61
  6. Step 6: Final answer
    x = 3,658.29

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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.