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Finding the Fourth Proportional to 9,208.56, 13,813.92 and 3,365.76

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Solution

The fourth proportional to 9,208.56, 13,813.92 and 3,365.76 is: 5,049.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,208.56 : 13,813.92 = 3,365.76 : x
  2. Step 2: Convert to fraction form
    9,208.56/13,813.92 = 3,365.76/x
  3. Step 3: Cross multiply
    9,208.56x = 13,813.92 × 3,365.76
  4. Step 4: Simplify right side
    9,208.56x = 46,494,339.38
  5. Step 5: Solve for x
    x = 46,494,339.38/9,208.56
  6. Step 6: Final answer
    x = 5,049.03

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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.