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Finding the Fourth Proportional to 9,913.12, 13,674.90 and 5,933.05

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Solution

The fourth proportional to 9,913.12, 13,674.90 and 5,933.05 is: 8,184.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,913.12 : 13,674.90 = 5,933.05 : x
  2. Step 2: Convert to fraction form
    9,913.12/13,674.90 = 5,933.05/x
  3. Step 3: Cross multiply
    9,913.12x = 13,674.90 × 5,933.05
  4. Step 4: Simplify right side
    9,913.12x = 81,133,865.45
  5. Step 5: Solve for x
    x = 81,133,865.45/9,913.12
  6. Step 6: Final answer
    x = 8,184.49

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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.