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Finding the Fourth Proportional to 9,755.64, 13,453.83 and 6,519.78

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Solution

The fourth proportional to 9,755.64, 13,453.83 and 6,519.78 is: 8,991.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,755.64 : 13,453.83 = 6,519.78 : x
  2. Step 2: Convert to fraction form
    9,755.64/13,453.83 = 6,519.78/x
  3. Step 3: Cross multiply
    9,755.64x = 13,453.83 × 6,519.78
  4. Step 4: Simplify right side
    9,755.64x = 87,716,011.76
  5. Step 5: Solve for x
    x = 87,716,011.76/9,755.64
  6. Step 6: Final answer
    x = 8,991.31

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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.