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Finding the Fourth Proportional to 7,050.65, 9,732.33 and 4,067.69

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Solution

The fourth proportional to 7,050.65, 9,732.33 and 4,067.69 is: 5,614.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,050.65 : 9,732.33 = 4,067.69 : x
  2. Step 2: Convert to fraction form
    7,050.65/9,732.33 = 4,067.69/x
  3. Step 3: Cross multiply
    7,050.65x = 9,732.33 × 4,067.69
  4. Step 4: Simplify right side
    7,050.65x = 39,588,052.76
  5. Step 5: Solve for x
    x = 39,588,052.76/7,050.65
  6. Step 6: Final answer
    x = 5,614.81

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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.