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Finding the Fourth Proportional to 6,563.51, 9,838.17 and 3,234.07

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Solution

The fourth proportional to 6,563.51, 9,838.17 and 3,234.07 is: 4,847.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,563.51 : 9,838.17 = 3,234.07 : x
  2. Step 2: Convert to fraction form
    6,563.51/9,838.17 = 3,234.07/x
  3. Step 3: Cross multiply
    6,563.51x = 9,838.17 × 3,234.07
  4. Step 4: Simplify right side
    6,563.51x = 31,817,330.45
  5. Step 5: Solve for x
    x = 31,817,330.45/6,563.51
  6. Step 6: Final answer
    x = 4,847.61

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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.