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Finding the Fourth Proportional to 9,174, 12,659.62 and 5,195.16

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Solution

The fourth proportional to 9,174, 12,659.62 and 5,195.16 is: 7,169.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,174 : 12,659.62 = 5,195.16 : x
  2. Step 2: Convert to fraction form
    9,174/12,659.62 = 5,195.16/x
  3. Step 3: Cross multiply
    9,174x = 12,659.62 × 5,195.16
  4. Step 4: Simplify right side
    9,174x = 65,768,751.44
  5. Step 5: Solve for x
    x = 65,768,751.44/9,174
  6. Step 6: Final answer
    x = 7,169.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.