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Finding the Fourth Proportional to 6,801.26, 9,387.72 and 4,443.74

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Solution

The fourth proportional to 6,801.26, 9,387.72 and 4,443.74 is: 6,133.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,801.26 : 9,387.72 = 4,443.74 : x
  2. Step 2: Convert to fraction form
    6,801.26/9,387.72 = 4,443.74/x
  3. Step 3: Cross multiply
    6,801.26x = 9,387.72 × 4,443.74
  4. Step 4: Simplify right side
    6,801.26x = 41,716,586.87
  5. Step 5: Solve for x
    x = 41,716,586.87/6,801.26
  6. Step 6: Final answer
    x = 6,133.66

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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.