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Finding the Fourth Proportional to 9,234.94, 13,852.41 and 2,309.44

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Solution

The fourth proportional to 9,234.94, 13,852.41 and 2,309.44 is: 3,464.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,234.94 : 13,852.41 = 2,309.44 : x
  2. Step 2: Convert to fraction form
    9,234.94/13,852.41 = 2,309.44/x
  3. Step 3: Cross multiply
    9,234.94x = 13,852.41 × 2,309.44
  4. Step 4: Simplify right side
    9,234.94x = 31,991,275.12
  5. Step 5: Solve for x
    x = 31,991,275.12/9,234.94
  6. Step 6: Final answer
    x = 3,464.16

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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.