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Finding the Fourth Proportional to 4,006.43, 6,009.74 and 1,233.13

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Solution

The fourth proportional to 4,006.43, 6,009.74 and 1,233.13 is: 1,849.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,006.43 : 6,009.74 = 1,233.13 : x
  2. Step 2: Convert to fraction form
    4,006.43/6,009.74 = 1,233.13/x
  3. Step 3: Cross multiply
    4,006.43x = 6,009.74 × 1,233.13
  4. Step 4: Simplify right side
    4,006.43x = 7,410,790.69
  5. Step 5: Solve for x
    x = 7,410,790.69/4,006.43
  6. Step 6: Final answer
    x = 1,849.72

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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.