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Finding the Fourth Proportional to 9,362.70, 14,040.16 and 3,812.28

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Solution

The fourth proportional to 9,362.70, 14,040.16 and 3,812.28 is: 5,716.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,362.70 : 14,040.16 = 3,812.28 : x
  2. Step 2: Convert to fraction form
    9,362.70/14,040.16 = 3,812.28/x
  3. Step 3: Cross multiply
    9,362.70x = 14,040.16 × 3,812.28
  4. Step 4: Simplify right side
    9,362.70x = 53,525,021.16
  5. Step 5: Solve for x
    x = 53,525,021.16/9,362.70
  6. Step 6: Final answer
    x = 5,716.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.