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Finding the Fourth Proportional to 9,309.71, 13,960.92 and 3,463.13

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Solution

The fourth proportional to 9,309.71, 13,960.92 and 3,463.13 is: 5,193.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,309.71 : 13,960.92 = 3,463.13 : x
  2. Step 2: Convert to fraction form
    9,309.71/13,960.92 = 3,463.13/x
  3. Step 3: Cross multiply
    9,309.71x = 13,960.92 × 3,463.13
  4. Step 4: Simplify right side
    9,309.71x = 48,348,480.88
  5. Step 5: Solve for x
    x = 48,348,480.88/9,309.71
  6. Step 6: Final answer
    x = 5,193.34

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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.