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Finding the Fourth Proportional to 9,761.22, 14,608.98 and 7,382.84

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Solution

The fourth proportional to 9,761.22, 14,608.98 and 7,382.84 is: 11,049.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,761.22 : 14,608.98 = 7,382.84 : x
  2. Step 2: Convert to fraction form
    9,761.22/14,608.98 = 7,382.84/x
  3. Step 3: Cross multiply
    9,761.22x = 14,608.98 × 7,382.84
  4. Step 4: Simplify right side
    9,761.22x = 107,855,688.86
  5. Step 5: Solve for x
    x = 107,855,688.86/9,761.22
  6. Step 6: Final answer
    x = 11,049.41

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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.