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Finding the Fourth Proportional to 9,617.42, 14,415.18 and 4,067.30

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Solution

The fourth proportional to 9,617.42, 14,415.18 and 4,067.30 is: 6,096.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,617.42 : 14,415.18 = 4,067.30 : x
  2. Step 2: Convert to fraction form
    9,617.42/14,415.18 = 4,067.30/x
  3. Step 3: Cross multiply
    9,617.42x = 14,415.18 × 4,067.30
  4. Step 4: Simplify right side
    9,617.42x = 58,630,789.54
  5. Step 5: Solve for x
    x = 58,630,789.54/9,617.42
  6. Step 6: Final answer
    x = 6,096.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.