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Finding the Fourth Proportional to 6,300.30, 9,439.65 and 4,107.90

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Solution

The fourth proportional to 6,300.30, 9,439.65 and 4,107.90 is: 6,154.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,300.30 : 9,439.65 = 4,107.90 : x
  2. Step 2: Convert to fraction form
    6,300.30/9,439.65 = 4,107.90/x
  3. Step 3: Cross multiply
    6,300.30x = 9,439.65 × 4,107.90
  4. Step 4: Simplify right side
    6,300.30x = 38,777,138.24
  5. Step 5: Solve for x
    x = 38,777,138.24/6,300.30
  6. Step 6: Final answer
    x = 6,154.81

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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.