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Finding the Fourth Proportional to 9,790.75, 13,511.22 and 5,314.47

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Solution

The fourth proportional to 9,790.75, 13,511.22 and 5,314.47 is: 7,333.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,790.75 : 13,511.22 = 5,314.47 : x
  2. Step 2: Convert to fraction form
    9,790.75/13,511.22 = 5,314.47/x
  3. Step 3: Cross multiply
    9,790.75x = 13,511.22 × 5,314.47
  4. Step 4: Simplify right side
    9,790.75x = 71,804,919.73
  5. Step 5: Solve for x
    x = 71,804,919.73/9,790.75
  6. Step 6: Final answer
    x = 7,333.95

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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.