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Finding the Fourth Proportional to 9,517.69, 14,265.91 and 3,969.19

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Solution

The fourth proportional to 9,517.69, 14,265.91 and 3,969.19 is: 5,949.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,517.69 : 14,265.91 = 3,969.19 : x
  2. Step 2: Convert to fraction form
    9,517.69/14,265.91 = 3,969.19/x
  3. Step 3: Cross multiply
    9,517.69x = 14,265.91 × 3,969.19
  4. Step 4: Simplify right side
    9,517.69x = 56,624,026.06
  5. Step 5: Solve for x
    x = 56,624,026.06/9,517.69
  6. Step 6: Final answer
    x = 5,949.35

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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.