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Finding the Fourth Proportional to 7,224.32, 9,969.60 and 4,080.80

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Solution

The fourth proportional to 7,224.32, 9,969.60 and 4,080.80 is: 5,631.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,224.32 : 9,969.60 = 4,080.80 : x
  2. Step 2: Convert to fraction form
    7,224.32/9,969.60 = 4,080.80/x
  3. Step 3: Cross multiply
    7,224.32x = 9,969.60 × 4,080.80
  4. Step 4: Simplify right side
    7,224.32x = 40,683,943.68
  5. Step 5: Solve for x
    x = 40,683,943.68/7,224.32
  6. Step 6: Final answer
    x = 5,631.53

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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.