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Finding the Fourth Proportional to 6,512.72, 9,761.85 and 3,228.17

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Solution

The fourth proportional to 6,512.72, 9,761.85 and 3,228.17 is: 4,838.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,512.72 : 9,761.85 = 3,228.17 : x
  2. Step 2: Convert to fraction form
    6,512.72/9,761.85 = 3,228.17/x
  3. Step 3: Cross multiply
    6,512.72x = 9,761.85 × 3,228.17
  4. Step 4: Simplify right side
    6,512.72x = 31,512,862.51
  5. Step 5: Solve for x
    x = 31,512,862.51/6,512.72
  6. Step 6: Final answer
    x = 4,838.67

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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.