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Finding the Fourth Proportional to 6,426.62, 8,867.72 and 3,738.44

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Solution

The fourth proportional to 6,426.62, 8,867.72 and 3,738.44 is: 5,158.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,426.62 : 8,867.72 = 3,738.44 : x
  2. Step 2: Convert to fraction form
    6,426.62/8,867.72 = 3,738.44/x
  3. Step 3: Cross multiply
    6,426.62x = 8,867.72 × 3,738.44
  4. Step 4: Simplify right side
    6,426.62x = 33,151,376.13
  5. Step 5: Solve for x
    x = 33,151,376.13/6,426.62
  6. Step 6: Final answer
    x = 5,158.45

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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.