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Finding the Fourth Proportional to 6,289.74, 9,426.78 and 5,508.09

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Solution

The fourth proportional to 6,289.74, 9,426.78 and 5,508.09 is: 8,255.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,289.74 : 9,426.78 = 5,508.09 : x
  2. Step 2: Convert to fraction form
    6,289.74/9,426.78 = 5,508.09/x
  3. Step 3: Cross multiply
    6,289.74x = 9,426.78 × 5,508.09
  4. Step 4: Simplify right side
    6,289.74x = 51,923,552.65
  5. Step 5: Solve for x
    x = 51,923,552.65/6,289.74
  6. Step 6: Final answer
    x = 8,255.28

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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.