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Finding the Fourth Proportional to 9,744.96, 13,450.28 and 6,385.86

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Solution

The fourth proportional to 9,744.96, 13,450.28 and 6,385.86 is: 8,813.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,744.96 : 13,450.28 = 6,385.86 : x
  2. Step 2: Convert to fraction form
    9,744.96/13,450.28 = 6,385.86/x
  3. Step 3: Cross multiply
    9,744.96x = 13,450.28 × 6,385.86
  4. Step 4: Simplify right side
    9,744.96x = 85,891,605.04
  5. Step 5: Solve for x
    x = 85,891,605.04/9,744.96
  6. Step 6: Final answer
    x = 8,813.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.