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Finding the Fourth Proportional to 9,204.64, 13,804.21 and 3,359.88

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Solution

The fourth proportional to 9,204.64, 13,804.21 and 3,359.88 is: 5,038.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,204.64 : 13,804.21 = 3,359.88 : x
  2. Step 2: Convert to fraction form
    9,204.64/13,804.21 = 3,359.88/x
  3. Step 3: Cross multiply
    9,204.64x = 13,804.21 × 3,359.88
  4. Step 4: Simplify right side
    9,204.64x = 46,380,489.09
  5. Step 5: Solve for x
    x = 46,380,489.09/9,204.64
  6. Step 6: Final answer
    x = 5,038.82

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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.