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Finding the Fourth Proportional to 9,311.26, 12,849.76 and 5,062.57

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Solution

The fourth proportional to 9,311.26, 12,849.76 and 5,062.57 is: 6,986.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,311.26 : 12,849.76 = 5,062.57 : x
  2. Step 2: Convert to fraction form
    9,311.26/12,849.76 = 5,062.57/x
  3. Step 3: Cross multiply
    9,311.26x = 12,849.76 × 5,062.57
  4. Step 4: Simplify right side
    9,311.26x = 65,052,745.23
  5. Step 5: Solve for x
    x = 65,052,745.23/9,311.26
  6. Step 6: Final answer
    x = 6,986.46

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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.