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Finding the Fourth Proportional to 9,245.75, 12,757.57 and 5,266.08

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Solution

The fourth proportional to 9,245.75, 12,757.57 and 5,266.08 is: 7,266.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,245.75 : 12,757.57 = 5,266.08 : x
  2. Step 2: Convert to fraction form
    9,245.75/12,757.57 = 5,266.08/x
  3. Step 3: Cross multiply
    9,245.75x = 12,757.57 × 5,266.08
  4. Step 4: Simplify right side
    9,245.75x = 67,182,371.06
  5. Step 5: Solve for x
    x = 67,182,371.06/9,245.75
  6. Step 6: Final answer
    x = 7,266.30

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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.