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Finding the Fourth Proportional to 9,049.86, 13,573.26 and 3,205.08

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Solution

The fourth proportional to 9,049.86, 13,573.26 and 3,205.08 is: 4,807.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,049.86 : 13,573.26 = 3,205.08 : x
  2. Step 2: Convert to fraction form
    9,049.86/13,573.26 = 3,205.08/x
  3. Step 3: Cross multiply
    9,049.86x = 13,573.26 × 3,205.08
  4. Step 4: Simplify right side
    9,049.86x = 43,503,384.16
  5. Step 5: Solve for x
    x = 43,503,384.16/9,049.86
  6. Step 6: Final answer
    x = 4,807.08

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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.