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Finding the Fourth Proportional to 9,204.66, 13,815.27 and 6,235.92

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Solution

The fourth proportional to 9,204.66, 13,815.27 and 6,235.92 is: 9,359.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,204.66 : 13,815.27 = 6,235.92 : x
  2. Step 2: Convert to fraction form
    9,204.66/13,815.27 = 6,235.92/x
  3. Step 3: Cross multiply
    9,204.66x = 13,815.27 × 6,235.92
  4. Step 4: Simplify right side
    9,204.66x = 86,150,918.50
  5. Step 5: Solve for x
    x = 86,150,918.50/9,204.66
  6. Step 6: Final answer
    x = 9,359.49

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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.