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Finding the Fourth Proportional to 6,734.29, 9,293.17 and 3,709.50

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Solution

The fourth proportional to 6,734.29, 9,293.17 and 3,709.50 is: 5,119.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,734.29 : 9,293.17 = 3,709.50 : x
  2. Step 2: Convert to fraction form
    6,734.29/9,293.17 = 3,709.50/x
  3. Step 3: Cross multiply
    6,734.29x = 9,293.17 × 3,709.50
  4. Step 4: Simplify right side
    6,734.29x = 34,473,014.12
  5. Step 5: Solve for x
    x = 34,473,014.12/6,734.29
  6. Step 6: Final answer
    x = 5,119.03

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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.