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Finding the Fourth Proportional to 9,659.49, 14,490.18 and 3,084.09

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Solution

The fourth proportional to 9,659.49, 14,490.18 and 3,084.09 is: 4,626.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,659.49 : 14,490.18 = 3,084.09 : x
  2. Step 2: Convert to fraction form
    9,659.49/14,490.18 = 3,084.09/x
  3. Step 3: Cross multiply
    9,659.49x = 14,490.18 × 3,084.09
  4. Step 4: Simplify right side
    9,659.49x = 44,689,019.24
  5. Step 5: Solve for x
    x = 44,689,019.24/9,659.49
  6. Step 6: Final answer
    x = 4,626.44

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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.