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Finding the Fourth Proportional to 9,272.57, 13,912.83 and 6,153.66

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Solution

The fourth proportional to 9,272.57, 13,912.83 and 6,153.66 is: 9,233.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,272.57 : 13,912.83 = 6,153.66 : x
  2. Step 2: Convert to fraction form
    9,272.57/13,912.83 = 6,153.66/x
  3. Step 3: Cross multiply
    9,272.57x = 13,912.83 × 6,153.66
  4. Step 4: Simplify right side
    9,272.57x = 85,614,825.46
  5. Step 5: Solve for x
    x = 85,614,825.46/9,272.57
  6. Step 6: Final answer
    x = 9,233.13

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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.