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Finding the Fourth Proportional to 9,172.80, 12,640.30 and 6,512.76

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Solution

The fourth proportional to 9,172.80, 12,640.30 and 6,512.76 is: 8,974.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,172.80 : 12,640.30 = 6,512.76 : x
  2. Step 2: Convert to fraction form
    9,172.80/12,640.30 = 6,512.76/x
  3. Step 3: Cross multiply
    9,172.80x = 12,640.30 × 6,512.76
  4. Step 4: Simplify right side
    9,172.80x = 82,323,223.95
  5. Step 5: Solve for x
    x = 82,323,223.95/9,172.80
  6. Step 6: Final answer
    x = 8,974.71

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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.