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Finding the Fourth Proportional to 6,500.84, 9,753.98 and 4,163.48

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Solution

The fourth proportional to 6,500.84, 9,753.98 and 4,163.48 is: 6,246.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,500.84 : 9,753.98 = 4,163.48 : x
  2. Step 2: Convert to fraction form
    6,500.84/9,753.98 = 4,163.48/x
  3. Step 3: Cross multiply
    6,500.84x = 9,753.98 × 4,163.48
  4. Step 4: Simplify right side
    6,500.84x = 40,610,431.06
  5. Step 5: Solve for x
    x = 40,610,431.06/6,500.84
  6. Step 6: Final answer
    x = 6,246.95

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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.