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Finding the Fourth Proportional to 9,236.64, 13,854.96 and 2,311.14

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Solution

The fourth proportional to 9,236.64, 13,854.96 and 2,311.14 is: 3,466.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,236.64 : 13,854.96 = 2,311.14 : x
  2. Step 2: Convert to fraction form
    9,236.64/13,854.96 = 2,311.14/x
  3. Step 3: Cross multiply
    9,236.64x = 13,854.96 × 2,311.14
  4. Step 4: Simplify right side
    9,236.64x = 32,020,752.25
  5. Step 5: Solve for x
    x = 32,020,752.25/9,236.64
  6. Step 6: Final answer
    x = 3,466.71

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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.