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Finding the Fourth Proportional to 9,404.25, 12,977.94 and 5,212.50

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Solution

The fourth proportional to 9,404.25, 12,977.94 and 5,212.50 is: 7,193.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,404.25 : 12,977.94 = 5,212.50 : x
  2. Step 2: Convert to fraction form
    9,404.25/12,977.94 = 5,212.50/x
  3. Step 3: Cross multiply
    9,404.25x = 12,977.94 × 5,212.50
  4. Step 4: Simplify right side
    9,404.25x = 67,647,512.25
  5. Step 5: Solve for x
    x = 67,647,512.25/9,404.25
  6. Step 6: Final answer
    x = 7,193.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.