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Finding the Fourth Proportional to 9,158.06, 12,638.13 and 5,179.09

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Solution

The fourth proportional to 9,158.06, 12,638.13 and 5,179.09 is: 7,147.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,158.06 : 12,638.13 = 5,179.09 : x
  2. Step 2: Convert to fraction form
    9,158.06/12,638.13 = 5,179.09/x
  3. Step 3: Cross multiply
    9,158.06x = 12,638.13 × 5,179.09
  4. Step 4: Simplify right side
    9,158.06x = 65,453,985.38
  5. Step 5: Solve for x
    x = 65,453,985.38/9,158.06
  6. Step 6: Final answer
    x = 7,147.14

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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.