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Finding the Fourth Proportional to 9,884.24, 13,638.76 and 6,347.92

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Solution

The fourth proportional to 9,884.24, 13,638.76 and 6,347.92 is: 8,759.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,884.24 : 13,638.76 = 6,347.92 : x
  2. Step 2: Convert to fraction form
    9,884.24/13,638.76 = 6,347.92/x
  3. Step 3: Cross multiply
    9,884.24x = 13,638.76 × 6,347.92
  4. Step 4: Simplify right side
    9,884.24x = 86,577,757.38
  5. Step 5: Solve for x
    x = 86,577,757.38/9,884.24
  6. Step 6: Final answer
    x = 8,759.17

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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.