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Finding the Fourth Proportional to 6,286.90, 9,429.69 and 3,165.64

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Solution

The fourth proportional to 6,286.90, 9,429.69 and 3,165.64 is: 4,748.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,286.90 : 9,429.69 = 3,165.64 : x
  2. Step 2: Convert to fraction form
    6,286.90/9,429.69 = 3,165.64/x
  3. Step 3: Cross multiply
    6,286.90x = 9,429.69 × 3,165.64
  4. Step 4: Simplify right side
    6,286.90x = 29,851,003.85
  5. Step 5: Solve for x
    x = 29,851,003.85/6,286.90
  6. Step 6: Final answer
    x = 4,748.13

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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.