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Finding the Fourth Proportional to 6,286.90, 9,441.15 and 4,105.30

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Solution

The fourth proportional to 6,286.90, 9,441.15 and 4,105.30 is: 6,165.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,286.90 : 9,441.15 = 4,105.30 : x
  2. Step 2: Convert to fraction form
    6,286.90/9,441.15 = 4,105.30/x
  3. Step 3: Cross multiply
    6,286.90x = 9,441.15 × 4,105.30
  4. Step 4: Simplify right side
    6,286.90x = 38,758,753.10
  5. Step 5: Solve for x
    x = 38,758,753.10/6,286.90
  6. Step 6: Final answer
    x = 6,165.00

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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.