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Finding the Fourth Proportional to 9,674.75, 14,511.36 and 3,099.17

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Solution

The fourth proportional to 9,674.75, 14,511.36 and 3,099.17 is: 4,648.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,674.75 : 14,511.36 = 3,099.17 : x
  2. Step 2: Convert to fraction form
    9,674.75/14,511.36 = 3,099.17/x
  3. Step 3: Cross multiply
    9,674.75x = 14,511.36 × 3,099.17
  4. Step 4: Simplify right side
    9,674.75x = 44,973,171.57
  5. Step 5: Solve for x
    x = 44,973,171.57/9,674.75
  6. Step 6: Final answer
    x = 4,648.51

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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.