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Finding the Fourth Proportional to 9,143.10, 12,617.30 and 5,164.38

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Solution

The fourth proportional to 9,143.10, 12,617.30 and 5,164.38 is: 7,126.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,143.10 : 12,617.30 = 5,164.38 : x
  2. Step 2: Convert to fraction form
    9,143.10/12,617.30 = 5,164.38/x
  3. Step 3: Cross multiply
    9,143.10x = 12,617.30 × 5,164.38
  4. Step 4: Simplify right side
    9,143.10x = 65,160,544.68
  5. Step 5: Solve for x
    x = 65,160,544.68/9,143.10
  6. Step 6: Final answer
    x = 7,126.75

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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.