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Finding the Fourth Proportional to 6,712.38, 9,263.67 and 3,918.78

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Solution

The fourth proportional to 6,712.38, 9,263.67 and 3,918.78 is: 5,408.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,712.38 : 9,263.67 = 3,918.78 : x
  2. Step 2: Convert to fraction form
    6,712.38/9,263.67 = 3,918.78/x
  3. Step 3: Cross multiply
    6,712.38x = 9,263.67 × 3,918.78
  4. Step 4: Simplify right side
    6,712.38x = 36,302,284.72
  5. Step 5: Solve for x
    x = 36,302,284.72/6,712.38
  6. Step 6: Final answer
    x = 5,408.26

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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.