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Finding the Fourth Proportional to 9,638.38, 13,302.39 and 6,101.92

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Solution

The fourth proportional to 9,638.38, 13,302.39 and 6,101.92 is: 8,421.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,638.38 : 13,302.39 = 6,101.92 : x
  2. Step 2: Convert to fraction form
    9,638.38/13,302.39 = 6,101.92/x
  3. Step 3: Cross multiply
    9,638.38x = 13,302.39 × 6,101.92
  4. Step 4: Simplify right side
    9,638.38x = 81,170,119.59
  5. Step 5: Solve for x
    x = 81,170,119.59/9,638.38
  6. Step 6: Final answer
    x = 8,421.55

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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.