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Finding the Fourth Proportional to 7,224.16, 9,969.24 and 4,081.36

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Solution

The fourth proportional to 7,224.16, 9,969.24 and 4,081.36 is: 5,632.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,224.16 : 9,969.24 = 4,081.36 : x
  2. Step 2: Convert to fraction form
    7,224.16/9,969.24 = 4,081.36/x
  3. Step 3: Cross multiply
    7,224.16x = 9,969.24 × 4,081.36
  4. Step 4: Simplify right side
    7,224.16x = 40,688,057.37
  5. Step 5: Solve for x
    x = 40,688,057.37/7,224.16
  6. Step 6: Final answer
    x = 5,632.22

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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.