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Finding the Fourth Proportional to 9,438.69, 13,028.94 and 5,463.21

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Solution

The fourth proportional to 9,438.69, 13,028.94 and 5,463.21 is: 7,541.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,438.69 : 13,028.94 = 5,463.21 : x
  2. Step 2: Convert to fraction form
    9,438.69/13,028.94 = 5,463.21/x
  3. Step 3: Cross multiply
    9,438.69x = 13,028.94 × 5,463.21
  4. Step 4: Simplify right side
    9,438.69x = 71,179,835.30
  5. Step 5: Solve for x
    x = 71,179,835.30/9,438.69
  6. Step 6: Final answer
    x = 7,541.28

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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.