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Finding the Fourth Proportional to 9,026.63, 13,540.22 and 2,452.95

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Solution

The fourth proportional to 9,026.63, 13,540.22 and 2,452.95 is: 3,679.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,026.63 : 13,540.22 = 2,452.95 : x
  2. Step 2: Convert to fraction form
    9,026.63/13,540.22 = 2,452.95/x
  3. Step 3: Cross multiply
    9,026.63x = 13,540.22 × 2,452.95
  4. Step 4: Simplify right side
    9,026.63x = 33,213,516.50
  5. Step 5: Solve for x
    x = 33,213,516.50/9,026.63
  6. Step 6: Final answer
    x = 3,679.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.