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Finding the Fourth Proportional to 6,939.90, 9,573.84 and 6,144.03

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Solution

The fourth proportional to 6,939.90, 9,573.84 and 6,144.03 is: 8,475.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,939.90 : 9,573.84 = 6,144.03 : x
  2. Step 2: Convert to fraction form
    6,939.90/9,573.84 = 6,144.03/x
  3. Step 3: Cross multiply
    6,939.90x = 9,573.84 × 6,144.03
  4. Step 4: Simplify right side
    6,939.90x = 58,821,960.18
  5. Step 5: Solve for x
    x = 58,821,960.18/6,939.90
  6. Step 6: Final answer
    x = 8,475.91

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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.