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Finding the Fourth Proportional to 9,193.70, 13,786.46 and 2,618.40

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Solution

The fourth proportional to 9,193.70, 13,786.46 and 2,618.40 is: 3,926.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,193.70 : 13,786.46 = 2,618.40 : x
  2. Step 2: Convert to fraction form
    9,193.70/13,786.46 = 2,618.40/x
  3. Step 3: Cross multiply
    9,193.70x = 13,786.46 × 2,618.40
  4. Step 4: Simplify right side
    9,193.70x = 36,098,466.86
  5. Step 5: Solve for x
    x = 36,098,466.86/9,193.70
  6. Step 6: Final answer
    x = 3,926.44

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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.