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Finding the Fourth Proportional to 9,659.39, 14,487.68 and 3,084.71

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Solution

The fourth proportional to 9,659.39, 14,487.68 and 3,084.71 is: 4,626.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,659.39 : 14,487.68 = 3,084.71 : x
  2. Step 2: Convert to fraction form
    9,659.39/14,487.68 = 3,084.71/x
  3. Step 3: Cross multiply
    9,659.39x = 14,487.68 × 3,084.71
  4. Step 4: Simplify right side
    9,659.39x = 44,690,226.65
  5. Step 5: Solve for x
    x = 44,690,226.65/9,659.39
  6. Step 6: Final answer
    x = 4,626.61

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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.