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Finding the Fourth Proportional to 6,923.34, 9,553.92 and 3,938.76

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Solution

The fourth proportional to 6,923.34, 9,553.92 and 3,938.76 is: 5,435.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,923.34 : 9,553.92 = 3,938.76 : x
  2. Step 2: Convert to fraction form
    6,923.34/9,553.92 = 3,938.76/x
  3. Step 3: Cross multiply
    6,923.34x = 9,553.92 × 3,938.76
  4. Step 4: Simplify right side
    6,923.34x = 37,630,597.94
  5. Step 5: Solve for x
    x = 37,630,597.94/6,923.34
  6. Step 6: Final answer
    x = 5,435.32

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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.