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Finding the Fourth Proportional to 9,286.12, 13,920 and 3,441.16

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Solution

The fourth proportional to 9,286.12, 13,920 and 3,441.16 is: 5,158.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,286.12 : 13,920 = 3,441.16 : x
  2. Step 2: Convert to fraction form
    9,286.12/13,920 = 3,441.16/x
  3. Step 3: Cross multiply
    9,286.12x = 13,920 × 3,441.16
  4. Step 4: Simplify right side
    9,286.12x = 47,900,947.20
  5. Step 5: Solve for x
    x = 47,900,947.20/9,286.12
  6. Step 6: Final answer
    x = 5,158.34

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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.