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Finding the Fourth Proportional to 6,674.63, 9,189.90 and 5,877.41

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Solution

The fourth proportional to 6,674.63, 9,189.90 and 5,877.41 is: 8,092.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,674.63 : 9,189.90 = 5,877.41 : x
  2. Step 2: Convert to fraction form
    6,674.63/9,189.90 = 5,877.41/x
  3. Step 3: Cross multiply
    6,674.63x = 9,189.90 × 5,877.41
  4. Step 4: Simplify right side
    6,674.63x = 54,012,764.21
  5. Step 5: Solve for x
    x = 54,012,764.21/6,674.63
  6. Step 6: Final answer
    x = 8,092.25

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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.