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Finding the Fourth Proportional to 9,204.83, 13,807.28 and 3,657.81

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Solution

The fourth proportional to 9,204.83, 13,807.28 and 3,657.81 is: 5,486.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,204.83 : 13,807.28 = 3,657.81 : x
  2. Step 2: Convert to fraction form
    9,204.83/13,807.28 = 3,657.81/x
  3. Step 3: Cross multiply
    9,204.83x = 13,807.28 × 3,657.81
  4. Step 4: Simplify right side
    9,204.83x = 50,504,406.86
  5. Step 5: Solve for x
    x = 50,504,406.86/9,204.83
  6. Step 6: Final answer
    x = 5,486.73

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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.