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Finding the Fourth Proportional to 9,310.68, 12,847.23 and 5,724.50

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Solution

The fourth proportional to 9,310.68, 12,847.23 and 5,724.50 is: 7,898.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,310.68 : 12,847.23 = 5,724.50 : x
  2. Step 2: Convert to fraction form
    9,310.68/12,847.23 = 5,724.50/x
  3. Step 3: Cross multiply
    9,310.68x = 12,847.23 × 5,724.50
  4. Step 4: Simplify right side
    9,310.68x = 73,543,903.90
  5. Step 5: Solve for x
    x = 73,543,903.90/9,310.68
  6. Step 6: Final answer
    x = 7,898.88

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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.