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Finding the Fourth Proportional to 9,022, 12,453.75 and 6,790.33

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Solution

The fourth proportional to 9,022, 12,453.75 and 6,790.33 is: 9,373.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,022 : 12,453.75 = 6,790.33 : x
  2. Step 2: Convert to fraction form
    9,022/12,453.75 = 6,790.33/x
  3. Step 3: Cross multiply
    9,022x = 12,453.75 × 6,790.33
  4. Step 4: Simplify right side
    9,022x = 84,565,072.24
  5. Step 5: Solve for x
    x = 84,565,072.24/9,022
  6. Step 6: Final answer
    x = 9,373.21

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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.