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Finding the Fourth Proportional to 9,450.36, 13,040.76 and 5,201.50

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Solution

The fourth proportional to 9,450.36, 13,040.76 and 5,201.50 is: 7,177.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,450.36 : 13,040.76 = 5,201.50 : x
  2. Step 2: Convert to fraction form
    9,450.36/13,040.76 = 5,201.50/x
  3. Step 3: Cross multiply
    9,450.36x = 13,040.76 × 5,201.50
  4. Step 4: Simplify right side
    9,450.36x = 67,831,513.14
  5. Step 5: Solve for x
    x = 67,831,513.14/9,450.36
  6. Step 6: Final answer
    x = 7,177.66

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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.