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Finding the Fourth Proportional to 6,141.51, 9,195.71 and 3,213.63

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Solution

The fourth proportional to 6,141.51, 9,195.71 and 3,213.63 is: 4,811.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,141.51 : 9,195.71 = 3,213.63 : x
  2. Step 2: Convert to fraction form
    6,141.51/9,195.71 = 3,213.63/x
  3. Step 3: Cross multiply
    6,141.51x = 9,195.71 × 3,213.63
  4. Step 4: Simplify right side
    6,141.51x = 29,551,593.46
  5. Step 5: Solve for x
    x = 29,551,593.46/6,141.51
  6. Step 6: Final answer
    x = 4,811.78

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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.