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Finding the Fourth Proportional to 8,284.83, 12,431.88 and 6,439.65

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Solution

The fourth proportional to 8,284.83, 12,431.88 and 6,439.65 is: 9,663.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,284.83 : 12,431.88 = 6,439.65 : x
  2. Step 2: Convert to fraction form
    8,284.83/12,431.88 = 6,439.65/x
  3. Step 3: Cross multiply
    8,284.83x = 12,431.88 × 6,439.65
  4. Step 4: Simplify right side
    8,284.83x = 80,056,956.04
  5. Step 5: Solve for x
    x = 80,056,956.04/8,284.83
  6. Step 6: Final answer
    x = 9,663.08

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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.