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Finding the Fourth Proportional to 6,311.30, 9,467.08 and 1,631.40

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Solution

The fourth proportional to 6,311.30, 9,467.08 and 1,631.40 is: 2,447.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,311.30 : 9,467.08 = 1,631.40 : x
  2. Step 2: Convert to fraction form
    6,311.30/9,467.08 = 1,631.40/x
  3. Step 3: Cross multiply
    6,311.30x = 9,467.08 × 1,631.40
  4. Step 4: Simplify right side
    6,311.30x = 15,444,594.31
  5. Step 5: Solve for x
    x = 15,444,594.31/6,311.30
  6. Step 6: Final answer
    x = 2,447.13

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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.