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Finding the Fourth Proportional to 9,174.08, 12,660 and 5,195.12

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Solution

The fourth proportional to 9,174.08, 12,660 and 5,195.12 is: 7,169.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,174.08 : 12,660 = 5,195.12 : x
  2. Step 2: Convert to fraction form
    9,174.08/12,660 = 5,195.12/x
  3. Step 3: Cross multiply
    9,174.08x = 12,660 × 5,195.12
  4. Step 4: Simplify right side
    9,174.08x = 65,770,219.20
  5. Step 5: Solve for x
    x = 65,770,219.20/9,174.08
  6. Step 6: Final answer
    x = 7,169.14

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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.