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Finding the Fourth Proportional to 9,158.37, 12,638.66 and 5,179.38

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Solution

The fourth proportional to 9,158.37, 12,638.66 and 5,179.38 is: 7,147.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,158.37 : 12,638.66 = 5,179.38 : x
  2. Step 2: Convert to fraction form
    9,158.37/12,638.66 = 5,179.38/x
  3. Step 3: Cross multiply
    9,158.37x = 12,638.66 × 5,179.38
  4. Step 4: Simplify right side
    9,158.37x = 65,460,396.93
  5. Step 5: Solve for x
    x = 65,460,396.93/9,158.37
  6. Step 6: Final answer
    x = 7,147.60

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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.