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Finding the Fourth Proportional to 9,193.53, 13,786.20 and 2,618.16

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Solution

The fourth proportional to 9,193.53, 13,786.20 and 2,618.16 is: 3,926.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,193.53 : 13,786.20 = 2,618.16 : x
  2. Step 2: Convert to fraction form
    9,193.53/13,786.20 = 2,618.16/x
  3. Step 3: Cross multiply
    9,193.53x = 13,786.20 × 2,618.16
  4. Step 4: Simplify right side
    9,193.53x = 36,094,477.39
  5. Step 5: Solve for x
    x = 36,094,477.39/9,193.53
  6. Step 6: Final answer
    x = 3,926.07

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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.