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Finding the Fourth Proportional to 9,021.36, 12,441.42 and 5,664.49

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Solution

The fourth proportional to 9,021.36, 12,441.42 and 5,664.49 is: 7,811.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,021.36 : 12,441.42 = 5,664.49 : x
  2. Step 2: Convert to fraction form
    9,021.36/12,441.42 = 5,664.49/x
  3. Step 3: Cross multiply
    9,021.36x = 12,441.42 × 5,664.49
  4. Step 4: Simplify right side
    9,021.36x = 70,474,299.18
  5. Step 5: Solve for x
    x = 70,474,299.18/9,021.36
  6. Step 6: Final answer
    x = 7,811.94

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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.