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Finding the Fourth Proportional to 9,761.82, 14,635.77 and 4,564.86

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Solution

The fourth proportional to 9,761.82, 14,635.77 and 4,564.86 is: 6,844.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,761.82 : 14,635.77 = 4,564.86 : x
  2. Step 2: Convert to fraction form
    9,761.82/14,635.77 = 4,564.86/x
  3. Step 3: Cross multiply
    9,761.82x = 14,635.77 × 4,564.86
  4. Step 4: Simplify right side
    9,761.82x = 66,810,241.04
  5. Step 5: Solve for x
    x = 66,810,241.04/9,761.82
  6. Step 6: Final answer
    x = 6,844.04

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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.