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Finding the Fourth Proportional to 9,006.12, 13,499.82 and 3,744

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Solution

The fourth proportional to 9,006.12, 13,499.82 and 3,744 is: 5,612.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,006.12 : 13,499.82 = 3,744 : x
  2. Step 2: Convert to fraction form
    9,006.12/13,499.82 = 3,744/x
  3. Step 3: Cross multiply
    9,006.12x = 13,499.82 × 3,744
  4. Step 4: Simplify right side
    9,006.12x = 50,543,326.08
  5. Step 5: Solve for x
    x = 50,543,326.08/9,006.12
  6. Step 6: Final answer
    x = 5,612.11

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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.