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Finding the Fourth Proportional to 9,858.32, 14,784.24 and 3,282.56

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Solution

The fourth proportional to 9,858.32, 14,784.24 and 3,282.56 is: 4,922.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,858.32 : 14,784.24 = 3,282.56 : x
  2. Step 2: Convert to fraction form
    9,858.32/14,784.24 = 3,282.56/x
  3. Step 3: Cross multiply
    9,858.32x = 14,784.24 × 3,282.56
  4. Step 4: Simplify right side
    9,858.32x = 48,530,154.85
  5. Step 5: Solve for x
    x = 48,530,154.85/9,858.32
  6. Step 6: Final answer
    x = 4,922.76

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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.