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Finding the Fourth Proportional to 9,516.75, 13,133.16 and 5,325

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Solution

The fourth proportional to 9,516.75, 13,133.16 and 5,325 is: 7,348.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,516.75 : 13,133.16 = 5,325 : x
  2. Step 2: Convert to fraction form
    9,516.75/13,133.16 = 5,325/x
  3. Step 3: Cross multiply
    9,516.75x = 13,133.16 × 5,325
  4. Step 4: Simplify right side
    9,516.75x = 69,934,077
  5. Step 5: Solve for x
    x = 69,934,077/9,516.75
  6. Step 6: Final answer
    x = 7,348.53

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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.