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Finding the Fourth Proportional to 6,725.34, 9,275.44 and 5,969.67

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Solution

The fourth proportional to 6,725.34, 9,275.44 and 5,969.67 is: 8,233.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,725.34 : 9,275.44 = 5,969.67 : x
  2. Step 2: Convert to fraction form
    6,725.34/9,275.44 = 5,969.67/x
  3. Step 3: Cross multiply
    6,725.34x = 9,275.44 × 5,969.67
  4. Step 4: Simplify right side
    6,725.34x = 55,371,346.35
  5. Step 5: Solve for x
    x = 55,371,346.35/6,725.34
  6. Step 6: Final answer
    x = 8,233.24

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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.