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Finding the Fourth Proportional to 6,914.34, 9,541.20 and 3,889.29

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Solution

The fourth proportional to 6,914.34, 9,541.20 and 3,889.29 is: 5,366.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,914.34 : 9,541.20 = 3,889.29 : x
  2. Step 2: Convert to fraction form
    6,914.34/9,541.20 = 3,889.29/x
  3. Step 3: Cross multiply
    6,914.34x = 9,541.20 × 3,889.29
  4. Step 4: Simplify right side
    6,914.34x = 37,108,493.75
  5. Step 5: Solve for x
    x = 37,108,493.75/6,914.34
  6. Step 6: Final answer
    x = 5,366.89

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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.