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Finding the Fourth Proportional to 9,691.44, 13,374.36 and 5,499.24

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Solution

The fourth proportional to 9,691.44, 13,374.36 and 5,499.24 is: 7,589.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,691.44 : 13,374.36 = 5,499.24 : x
  2. Step 2: Convert to fraction form
    9,691.44/13,374.36 = 5,499.24/x
  3. Step 3: Cross multiply
    9,691.44x = 13,374.36 × 5,499.24
  4. Step 4: Simplify right side
    9,691.44x = 73,548,815.49
  5. Step 5: Solve for x
    x = 73,548,815.49/9,691.44
  6. Step 6: Final answer
    x = 7,589.05

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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.