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Finding the Fourth Proportional to 6,476.40, 9,716.20 and 2,094.24

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Solution

The fourth proportional to 6,476.40, 9,716.20 and 2,094.24 is: 3,141.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,476.40 : 9,716.20 = 2,094.24 : x
  2. Step 2: Convert to fraction form
    6,476.40/9,716.20 = 2,094.24/x
  3. Step 3: Cross multiply
    6,476.40x = 9,716.20 × 2,094.24
  4. Step 4: Simplify right side
    6,476.40x = 20,348,054.69
  5. Step 5: Solve for x
    x = 20,348,054.69/6,476.40
  6. Step 6: Final answer
    x = 3,141.88

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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.