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Finding the Fourth Proportional to 7,227.45, 9,973.67 and 4,040.75

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Solution

The fourth proportional to 7,227.45, 9,973.67 and 4,040.75 is: 5,576.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,227.45 : 9,973.67 = 4,040.75 : x
  2. Step 2: Convert to fraction form
    7,227.45/9,973.67 = 4,040.75/x
  3. Step 3: Cross multiply
    7,227.45x = 9,973.67 × 4,040.75
  4. Step 4: Simplify right side
    7,227.45x = 40,301,107.05
  5. Step 5: Solve for x
    x = 40,301,107.05/7,227.45
  6. Step 6: Final answer
    x = 5,576.12

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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.