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Finding the Fourth Proportional to 6,382.64, 8,806.74 and 3,729.53

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Solution

The fourth proportional to 6,382.64, 8,806.74 and 3,729.53 is: 5,145.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,382.64 : 8,806.74 = 3,729.53 : x
  2. Step 2: Convert to fraction form
    6,382.64/8,806.74 = 3,729.53/x
  3. Step 3: Cross multiply
    6,382.64x = 8,806.74 × 3,729.53
  4. Step 4: Simplify right side
    6,382.64x = 32,845,023.05
  5. Step 5: Solve for x
    x = 32,845,023.05/6,382.64
  6. Step 6: Final answer
    x = 5,145.99

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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.