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Finding the Fourth Proportional to 9,157.82, 12,635.66 and 6,327.68

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Solution

The fourth proportional to 9,157.82, 12,635.66 and 6,327.68 is: 8,730.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,157.82 : 12,635.66 = 6,327.68 : x
  2. Step 2: Convert to fraction form
    9,157.82/12,635.66 = 6,327.68/x
  3. Step 3: Cross multiply
    9,157.82x = 12,635.66 × 6,327.68
  4. Step 4: Simplify right side
    9,157.82x = 79,954,365.71
  5. Step 5: Solve for x
    x = 79,954,365.71/9,157.82
  6. Step 6: Final answer
    x = 8,730.73

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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.