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Finding the Fourth Proportional to 9,287.28, 12,816.42 and 5,561.28

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Solution

The fourth proportional to 9,287.28, 12,816.42 and 5,561.28 is: 7,674.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,287.28 : 12,816.42 = 5,561.28 : x
  2. Step 2: Convert to fraction form
    9,287.28/12,816.42 = 5,561.28/x
  3. Step 3: Cross multiply
    9,287.28x = 12,816.42 × 5,561.28
  4. Step 4: Simplify right side
    9,287.28x = 71,275,700.22
  5. Step 5: Solve for x
    x = 71,275,700.22/9,287.28
  6. Step 6: Final answer
    x = 7,674.55

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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.