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Finding the Fourth Proportional to 6,511.84, 9,768.97 and 2,129.53

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Solution

The fourth proportional to 6,511.84, 9,768.97 and 2,129.53 is: 3,194.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,511.84 : 9,768.97 = 2,129.53 : x
  2. Step 2: Convert to fraction form
    6,511.84/9,768.97 = 2,129.53/x
  3. Step 3: Cross multiply
    6,511.84x = 9,768.97 × 2,129.53
  4. Step 4: Simplify right side
    6,511.84x = 20,803,314.68
  5. Step 5: Solve for x
    x = 20,803,314.68/6,511.84
  6. Step 6: Final answer
    x = 3,194.69

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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.