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Finding the Fourth Proportional to 9,936.72, 13,708.74 and 6,402

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Solution

The fourth proportional to 9,936.72, 13,708.74 and 6,402 is: 8,832.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,936.72 : 13,708.74 = 6,402 : x
  2. Step 2: Convert to fraction form
    9,936.72/13,708.74 = 6,402/x
  3. Step 3: Cross multiply
    9,936.72x = 13,708.74 × 6,402
  4. Step 4: Simplify right side
    9,936.72x = 87,763,353.48
  5. Step 5: Solve for x
    x = 87,763,353.48/9,936.72
  6. Step 6: Final answer
    x = 8,832.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.