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Finding the Fourth Proportional to 8,382.28, 12,561.50 and 6,173.64

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Solution

The fourth proportional to 8,382.28, 12,561.50 and 6,173.64 is: 9,251.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,382.28 : 12,561.50 = 6,173.64 : x
  2. Step 2: Convert to fraction form
    8,382.28/12,561.50 = 6,173.64/x
  3. Step 3: Cross multiply
    8,382.28x = 12,561.50 × 6,173.64
  4. Step 4: Simplify right side
    8,382.28x = 77,550,178.86
  5. Step 5: Solve for x
    x = 77,550,178.86/8,382.28
  6. Step 6: Final answer
    x = 9,251.68

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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.