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Finding the Fourth Proportional to 9,236.97, 13,854.51 and 2,311.47

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Solution

The fourth proportional to 9,236.97, 13,854.51 and 2,311.47 is: 3,466.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,236.97 : 13,854.51 = 2,311.47 : x
  2. Step 2: Convert to fraction form
    9,236.97/13,854.51 = 2,311.47/x
  3. Step 3: Cross multiply
    9,236.97x = 13,854.51 × 2,311.47
  4. Step 4: Simplify right side
    9,236.97x = 32,024,284.23
  5. Step 5: Solve for x
    x = 32,024,284.23/9,236.97
  6. Step 6: Final answer
    x = 3,466.97

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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.