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Finding the Fourth Proportional to 9,493.49, 14,240.18 and 3,871.14

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Solution

The fourth proportional to 9,493.49, 14,240.18 and 3,871.14 is: 5,806.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,493.49 : 14,240.18 = 3,871.14 : x
  2. Step 2: Convert to fraction form
    9,493.49/14,240.18 = 3,871.14/x
  3. Step 3: Cross multiply
    9,493.49x = 14,240.18 × 3,871.14
  4. Step 4: Simplify right side
    9,493.49x = 55,125,706.12
  5. Step 5: Solve for x
    x = 55,125,706.12/9,493.49
  6. Step 6: Final answer
    x = 5,806.68

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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.