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Finding the Fourth Proportional to 9,241.14, 13,861.72 and 2,315.64

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Solution

The fourth proportional to 9,241.14, 13,861.72 and 2,315.64 is: 3,473.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,241.14 : 13,861.72 = 2,315.64 : x
  2. Step 2: Convert to fraction form
    9,241.14/13,861.72 = 2,315.64/x
  3. Step 3: Cross multiply
    9,241.14x = 13,861.72 × 2,315.64
  4. Step 4: Simplify right side
    9,241.14x = 32,098,753.30
  5. Step 5: Solve for x
    x = 32,098,753.30/9,241.14
  6. Step 6: Final answer
    x = 3,473.46

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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.