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Finding the Fourth Proportional to 6,281.97, 9,416.34 and 2,118.03

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Solution

The fourth proportional to 6,281.97, 9,416.34 and 2,118.03 is: 3,174.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,281.97 : 9,416.34 = 2,118.03 : x
  2. Step 2: Convert to fraction form
    6,281.97/9,416.34 = 2,118.03/x
  3. Step 3: Cross multiply
    6,281.97x = 9,416.34 × 2,118.03
  4. Step 4: Simplify right side
    6,281.97x = 19,944,090.61
  5. Step 5: Solve for x
    x = 19,944,090.61/6,281.97
  6. Step 6: Final answer
    x = 3,174.81

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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.