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Finding the Fourth Proportional to 9,236.14, 13,854.22 and 2,310.64

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Solution

The fourth proportional to 9,236.14, 13,854.22 and 2,310.64 is: 3,465.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,236.14 : 13,854.22 = 2,310.64 : x
  2. Step 2: Convert to fraction form
    9,236.14/13,854.22 = 2,310.64/x
  3. Step 3: Cross multiply
    9,236.14x = 13,854.22 × 2,310.64
  4. Step 4: Simplify right side
    9,236.14x = 32,012,114.90
  5. Step 5: Solve for x
    x = 32,012,114.90/9,236.14
  6. Step 6: Final answer
    x = 3,465.96

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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.