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Finding the Fourth Proportional to 9,631.96, 13,241.05 and 8,282.62

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Solution

The fourth proportional to 9,631.96, 13,241.05 and 8,282.62 is: 11,386.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,631.96 : 13,241.05 = 8,282.62 : x
  2. Step 2: Convert to fraction form
    9,631.96/13,241.05 = 8,282.62/x
  3. Step 3: Cross multiply
    9,631.96x = 13,241.05 × 8,282.62
  4. Step 4: Simplify right side
    9,631.96x = 109,670,585.55
  5. Step 5: Solve for x
    x = 109,670,585.55/9,631.96
  6. Step 6: Final answer
    x = 11,386.11

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.