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Finding the Fourth Proportional to 9,026.75, 13,542.33 and 3,404.50

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Solution

The fourth proportional to 9,026.75, 13,542.33 and 3,404.50 is: 5,107.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,026.75 : 13,542.33 = 3,404.50 : x
  2. Step 2: Convert to fraction form
    9,026.75/13,542.33 = 3,404.50/x
  3. Step 3: Cross multiply
    9,026.75x = 13,542.33 × 3,404.50
  4. Step 4: Simplify right side
    9,026.75x = 46,104,862.49
  5. Step 5: Solve for x
    x = 46,104,862.49/9,026.75
  6. Step 6: Final answer
    x = 5,107.58

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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.