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Finding the Fourth Proportional to 9,558, 14,338.62 and 2,982.88

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Solution

The fourth proportional to 9,558, 14,338.62 and 2,982.88 is: 4,474.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,558 : 14,338.62 = 2,982.88 : x
  2. Step 2: Convert to fraction form
    9,558/14,338.62 = 2,982.88/x
  3. Step 3: Cross multiply
    9,558x = 14,338.62 × 2,982.88
  4. Step 4: Simplify right side
    9,558x = 42,770,320.09
  5. Step 5: Solve for x
    x = 42,770,320.09/9,558
  6. Step 6: Final answer
    x = 4,474.82

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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.