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Finding the Fourth Proportional to 9,441.80, 13,028.67 and 5,462.17

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Solution

The fourth proportional to 9,441.80, 13,028.67 and 5,462.17 is: 7,537.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,441.80 : 13,028.67 = 5,462.17 : x
  2. Step 2: Convert to fraction form
    9,441.80/13,028.67 = 5,462.17/x
  3. Step 3: Cross multiply
    9,441.80x = 13,028.67 × 5,462.17
  4. Step 4: Simplify right side
    9,441.80x = 71,164,793.20
  5. Step 5: Solve for x
    x = 71,164,793.20/9,441.80
  6. Step 6: Final answer
    x = 7,537.21

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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.