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Finding the Fourth Proportional to 9,903.50, 13,666.83 and 5,924.78

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Solution

The fourth proportional to 9,903.50, 13,666.83 and 5,924.78 is: 8,176.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,903.50 : 13,666.83 = 5,924.78 : x
  2. Step 2: Convert to fraction form
    9,903.50/13,666.83 = 5,924.78/x
  3. Step 3: Cross multiply
    9,903.50x = 13,666.83 × 5,924.78
  4. Step 4: Simplify right side
    9,903.50x = 80,972,961.05
  5. Step 5: Solve for x
    x = 80,972,961.05/9,903.50
  6. Step 6: Final answer
    x = 8,176.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.