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Finding the Fourth Proportional to 6,512.34, 9,768.18 and 2,129.22

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Solution

The fourth proportional to 6,512.34, 9,768.18 and 2,129.22 is: 3,193.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,512.34 : 9,768.18 = 2,129.22 : x
  2. Step 2: Convert to fraction form
    6,512.34/9,768.18 = 2,129.22/x
  3. Step 3: Cross multiply
    6,512.34x = 9,768.18 × 2,129.22
  4. Step 4: Simplify right side
    6,512.34x = 20,798,604.22
  5. Step 5: Solve for x
    x = 20,798,604.22/6,512.34
  6. Step 6: Final answer
    x = 3,193.72

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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.