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Finding the Fourth Proportional to 7,140.04, 9,853.46 and 3,996.20

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Solution

The fourth proportional to 7,140.04, 9,853.46 and 3,996.20 is: 5,514.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,140.04 : 9,853.46 = 3,996.20 : x
  2. Step 2: Convert to fraction form
    7,140.04/9,853.46 = 3,996.20/x
  3. Step 3: Cross multiply
    7,140.04x = 9,853.46 × 3,996.20
  4. Step 4: Simplify right side
    7,140.04x = 39,376,396.85
  5. Step 5: Solve for x
    x = 39,376,396.85/7,140.04
  6. Step 6: Final answer
    x = 5,514.87

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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.