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Finding the Fourth Proportional to 9,157.44, 12,634.96 and 6,178.72

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Solution

The fourth proportional to 9,157.44, 12,634.96 and 6,178.72 is: 8,525.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,157.44 : 12,634.96 = 6,178.72 : x
  2. Step 2: Convert to fraction form
    9,157.44/12,634.96 = 6,178.72/x
  3. Step 3: Cross multiply
    9,157.44x = 12,634.96 × 6,178.72
  4. Step 4: Simplify right side
    9,157.44x = 78,067,880.05
  5. Step 5: Solve for x
    x = 78,067,880.05/9,157.44
  6. Step 6: Final answer
    x = 8,525.08

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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.