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Finding the Fourth Proportional to 9,632.75, 13,294.28 and 5,441.27

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Solution

The fourth proportional to 9,632.75, 13,294.28 and 5,441.27 is: 7,509.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,632.75 : 13,294.28 = 5,441.27 : x
  2. Step 2: Convert to fraction form
    9,632.75/13,294.28 = 5,441.27/x
  3. Step 3: Cross multiply
    9,632.75x = 13,294.28 × 5,441.27
  4. Step 4: Simplify right side
    9,632.75x = 72,337,739.73
  5. Step 5: Solve for x
    x = 72,337,739.73/9,632.75
  6. Step 6: Final answer
    x = 7,509.56

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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.