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Finding the Fourth Proportional to 9,528.39, 14,308.83 and 6,202.31

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Solution

The fourth proportional to 9,528.39, 14,308.83 and 6,202.31 is: 9,314.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,528.39 : 14,308.83 = 6,202.31 : x
  2. Step 2: Convert to fraction form
    9,528.39/14,308.83 = 6,202.31/x
  3. Step 3: Cross multiply
    9,528.39x = 14,308.83 × 6,202.31
  4. Step 4: Simplify right side
    9,528.39x = 88,747,727.85
  5. Step 5: Solve for x
    x = 88,747,727.85/9,528.39
  6. Step 6: Final answer
    x = 9,314.03

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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.