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Finding the Fourth Proportional to 9,266.16, 12,786.42 and 5,489.33

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Solution

The fourth proportional to 9,266.16, 12,786.42 and 5,489.33 is: 7,574.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,266.16 : 12,786.42 = 5,489.33 : x
  2. Step 2: Convert to fraction form
    9,266.16/12,786.42 = 5,489.33/x
  3. Step 3: Cross multiply
    9,266.16x = 12,786.42 × 5,489.33
  4. Step 4: Simplify right side
    9,266.16x = 70,188,851.45
  5. Step 5: Solve for x
    x = 70,188,851.45/9,266.16
  6. Step 6: Final answer
    x = 7,574.75

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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.