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Finding the Fourth Proportional to 9,266.19, 13,882.87 and 7,697.01

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Solution

The fourth proportional to 9,266.19, 13,882.87 and 7,697.01 is: 11,531.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,266.19 : 13,882.87 = 7,697.01 : x
  2. Step 2: Convert to fraction form
    9,266.19/13,882.87 = 7,697.01/x
  3. Step 3: Cross multiply
    9,266.19x = 13,882.87 × 7,697.01
  4. Step 4: Simplify right side
    9,266.19x = 106,856,589.22
  5. Step 5: Solve for x
    x = 106,856,589.22/9,266.19
  6. Step 6: Final answer
    x = 11,531.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.