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Finding the Fourth Proportional to 9,533.40, 14,286.05 and 5,310.84

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Solution

The fourth proportional to 9,533.40, 14,286.05 and 5,310.84 is: 7,958.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,533.40 : 14,286.05 = 5,310.84 : x
  2. Step 2: Convert to fraction form
    9,533.40/14,286.05 = 5,310.84/x
  3. Step 3: Cross multiply
    9,533.40x = 14,286.05 × 5,310.84
  4. Step 4: Simplify right side
    9,533.40x = 75,870,899.23
  5. Step 5: Solve for x
    x = 75,870,899.23/9,533.40
  6. Step 6: Final answer
    x = 7,958.43

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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.