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Finding the Fourth Proportional to 9,134.14, 12,605.10 and 4,942.38

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Solution

The fourth proportional to 9,134.14, 12,605.10 and 4,942.38 is: 6,820.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,134.14 : 12,605.10 = 4,942.38 : x
  2. Step 2: Convert to fraction form
    9,134.14/12,605.10 = 4,942.38/x
  3. Step 3: Cross multiply
    9,134.14x = 12,605.10 × 4,942.38
  4. Step 4: Simplify right side
    9,134.14x = 62,299,194.14
  5. Step 5: Solve for x
    x = 62,299,194.14/9,134.14
  6. Step 6: Final answer
    x = 6,820.48

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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.