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Finding the Fourth Proportional to 9,174.72, 12,661.20 and 5,448

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Solution

The fourth proportional to 9,174.72, 12,661.20 and 5,448 is: 7,518.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,174.72 : 12,661.20 = 5,448 : x
  2. Step 2: Convert to fraction form
    9,174.72/12,661.20 = 5,448/x
  3. Step 3: Cross multiply
    9,174.72x = 12,661.20 × 5,448
  4. Step 4: Simplify right side
    9,174.72x = 68,978,217.60
  5. Step 5: Solve for x
    x = 68,978,217.60/9,174.72
  6. Step 6: Final answer
    x = 7,518.29

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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.