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Finding the Fourth Proportional to 9,205.11, 13,809.47 and 3,657.42

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Solution

The fourth proportional to 9,205.11, 13,809.47 and 3,657.42 is: 5,486.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,205.11 : 13,809.47 = 3,657.42 : x
  2. Step 2: Convert to fraction form
    9,205.11/13,809.47 = 3,657.42/x
  3. Step 3: Cross multiply
    9,205.11x = 13,809.47 × 3,657.42
  4. Step 4: Simplify right side
    9,205.11x = 50,507,013.48
  5. Step 5: Solve for x
    x = 50,507,013.48/9,205.11
  6. Step 6: Final answer
    x = 5,486.85

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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.