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Finding the Fourth Proportional to 6,309.10, 9,463.65 and 4,429.90

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Solution

The fourth proportional to 6,309.10, 9,463.65 and 4,429.90 is: 6,644.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,309.10 : 9,463.65 = 4,429.90 : x
  2. Step 2: Convert to fraction form
    6,309.10/9,463.65 = 4,429.90/x
  3. Step 3: Cross multiply
    6,309.10x = 9,463.65 × 4,429.90
  4. Step 4: Simplify right side
    6,309.10x = 41,923,023.14
  5. Step 5: Solve for x
    x = 41,923,023.14/6,309.10
  6. Step 6: Final answer
    x = 6,644.85

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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.