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Finding the Fourth Proportional to 10,138.88, 13,997.56 and 6,738.64

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Solution

The fourth proportional to 10,138.88, 13,997.56 and 6,738.64 is: 9,303.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,138.88 : 13,997.56 = 6,738.64 : x
  2. Step 2: Convert to fraction form
    10,138.88/13,997.56 = 6,738.64/x
  3. Step 3: Cross multiply
    10,138.88x = 13,997.56 × 6,738.64
  4. Step 4: Simplify right side
    10,138.88x = 94,324,517.72
  5. Step 5: Solve for x
    x = 94,324,517.72/10,138.88
  6. Step 6: Final answer
    x = 9,303.25

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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.