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Finding the Fourth Proportional to 9,163.80, 12,646.62 and 5,185.08

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Solution

The fourth proportional to 9,163.80, 12,646.62 and 5,185.08 is: 7,155.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,163.80 : 12,646.62 = 5,185.08 : x
  2. Step 2: Convert to fraction form
    9,163.80/12,646.62 = 5,185.08/x
  3. Step 3: Cross multiply
    9,163.80x = 12,646.62 × 5,185.08
  4. Step 4: Simplify right side
    9,163.80x = 65,573,736.43
  5. Step 5: Solve for x
    x = 65,573,736.43/9,163.80
  6. Step 6: Final answer
    x = 7,155.74

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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.