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Finding the Fourth Proportional to 9,089.28, 13,625.28 and 3,546.18

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Solution

The fourth proportional to 9,089.28, 13,625.28 and 3,546.18 is: 5,315.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,089.28 : 13,625.28 = 3,546.18 : x
  2. Step 2: Convert to fraction form
    9,089.28/13,625.28 = 3,546.18/x
  3. Step 3: Cross multiply
    9,089.28x = 13,625.28 × 3,546.18
  4. Step 4: Simplify right side
    9,089.28x = 48,317,695.43
  5. Step 5: Solve for x
    x = 48,317,695.43/9,089.28
  6. Step 6: Final answer
    x = 5,315.90

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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.