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Finding the Fourth Proportional to 9,910.53, 13,676.72 and 5,434.24

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Solution

The fourth proportional to 9,910.53, 13,676.72 and 5,434.24 is: 7,499.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,910.53 : 13,676.72 = 5,434.24 : x
  2. Step 2: Convert to fraction form
    9,910.53/13,676.72 = 5,434.24/x
  3. Step 3: Cross multiply
    9,910.53x = 13,676.72 × 5,434.24
  4. Step 4: Simplify right side
    9,910.53x = 74,322,589.03
  5. Step 5: Solve for x
    x = 74,322,589.03/9,910.53
  6. Step 6: Final answer
    x = 7,499.36

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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.