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Finding the Fourth Proportional to 9,634, 13,294.92 and 5,218

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Solution

The fourth proportional to 9,634, 13,294.92 and 5,218 is: 7,200.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,634 : 13,294.92 = 5,218 : x
  2. Step 2: Convert to fraction form
    9,634/13,294.92 = 5,218/x
  3. Step 3: Cross multiply
    9,634x = 13,294.92 × 5,218
  4. Step 4: Simplify right side
    9,634x = 69,372,892.56
  5. Step 5: Solve for x
    x = 69,372,892.56/9,634
  6. Step 6: Final answer
    x = 7,200.84

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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.