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Finding the Fourth Proportional to 9,143.38, 12,618.21 and 5,164.93

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Solution

The fourth proportional to 9,143.38, 12,618.21 and 5,164.93 is: 7,127.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,143.38 : 12,618.21 = 5,164.93 : x
  2. Step 2: Convert to fraction form
    9,143.38/12,618.21 = 5,164.93/x
  3. Step 3: Cross multiply
    9,143.38x = 12,618.21 × 5,164.93
  4. Step 4: Simplify right side
    9,143.38x = 65,172,171.38
  5. Step 5: Solve for x
    x = 65,172,171.38/9,143.38
  6. Step 6: Final answer
    x = 7,127.80

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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.