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Finding the Fourth Proportional to 6,733.17, 10,084.08 and 6,499.62

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Solution

The fourth proportional to 6,733.17, 10,084.08 and 6,499.62 is: 9,734.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,733.17 : 10,084.08 = 6,499.62 : x
  2. Step 2: Convert to fraction form
    6,733.17/10,084.08 = 6,499.62/x
  3. Step 3: Cross multiply
    6,733.17x = 10,084.08 × 6,499.62
  4. Step 4: Simplify right side
    6,733.17x = 65,542,688.05
  5. Step 5: Solve for x
    x = 65,542,688.05/6,733.17
  6. Step 6: Final answer
    x = 9,734.30

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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.