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Finding the Fourth Proportional to 9,761.36, 14,635.32 and 3,519.92

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Solution

The fourth proportional to 9,761.36, 14,635.32 and 3,519.92 is: 5,277.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,761.36 : 14,635.32 = 3,519.92 : x
  2. Step 2: Convert to fraction form
    9,761.36/14,635.32 = 3,519.92/x
  3. Step 3: Cross multiply
    9,761.36x = 14,635.32 × 3,519.92
  4. Step 4: Simplify right side
    9,761.36x = 51,515,155.57
  5. Step 5: Solve for x
    x = 51,515,155.57/9,761.36
  6. Step 6: Final answer
    x = 5,277.46

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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.