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Finding the Fourth Proportional to 9,266.20, 12,786.86 and 5,287.68

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Solution

The fourth proportional to 9,266.20, 12,786.86 and 5,287.68 is: 7,296.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,266.20 : 12,786.86 = 5,287.68 : x
  2. Step 2: Convert to fraction form
    9,266.20/12,786.86 = 5,287.68/x
  3. Step 3: Cross multiply
    9,266.20x = 12,786.86 × 5,287.68
  4. Step 4: Simplify right side
    9,266.20x = 67,612,837.10
  5. Step 5: Solve for x
    x = 67,612,837.10/9,266.20
  6. Step 6: Final answer
    x = 7,296.72

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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.