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Finding the Fourth Proportional to 10,002, 13,702.69 and 9,628.20

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Solution

The fourth proportional to 10,002, 13,702.69 and 9,628.20 is: 13,190.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,002 : 13,702.69 = 9,628.20 : x
  2. Step 2: Convert to fraction form
    10,002/13,702.69 = 9,628.20/x
  3. Step 3: Cross multiply
    10,002x = 13,702.69 × 9,628.20
  4. Step 4: Simplify right side
    10,002x = 131,932,239.86
  5. Step 5: Solve for x
    x = 131,932,239.86/10,002
  6. Step 6: Final answer
    x = 13,190.59

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.