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Finding the Fourth Proportional to 6,752.50, 9,318.00 and 4,234.50

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Solution

The fourth proportional to 6,752.50, 9,318.00 and 4,234.50 is: 5,843.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,752.50 : 9,318.00 = 4,234.50 : x
  2. Step 2: Convert to fraction form
    6,752.50/9,318.00 = 4,234.50/x
  3. Step 3: Cross multiply
    6,752.50x = 9,318.00 × 4,234.50
  4. Step 4: Simplify right side
    6,752.50x = 39,457,086.88
  5. Step 5: Solve for x
    x = 39,457,086.88/6,752.50
  6. Step 6: Final answer
    x = 5,843.33

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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.