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Finding the Fourth Proportional to 10,277.67, 14,191.14 and 6,694.34

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Solution

The fourth proportional to 10,277.67, 14,191.14 and 6,694.34 is: 9,243.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,277.67 : 14,191.14 = 6,694.34 : x
  2. Step 2: Convert to fraction form
    10,277.67/14,191.14 = 6,694.34/x
  3. Step 3: Cross multiply
    10,277.67x = 14,191.14 × 6,694.34
  4. Step 4: Simplify right side
    10,277.67x = 95,000,245.19
  5. Step 5: Solve for x
    x = 95,000,245.19/10,277.67
  6. Step 6: Final answer
    x = 9,243.36

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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.