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Finding the Fourth Proportional to 9,180.36, 12,669 and 5,201.36

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Solution

The fourth proportional to 9,180.36, 12,669 and 5,201.36 is: 7,177.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,180.36 : 12,669 = 5,201.36 : x
  2. Step 2: Convert to fraction form
    9,180.36/12,669 = 5,201.36/x
  3. Step 3: Cross multiply
    9,180.36x = 12,669 × 5,201.36
  4. Step 4: Simplify right side
    9,180.36x = 65,896,029.84
  5. Step 5: Solve for x
    x = 65,896,029.84/9,180.36
  6. Step 6: Final answer
    x = 7,177.94

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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.