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Finding the Fourth Proportional to 9,817.29, 14,732.17 and 3,576.69

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Solution

The fourth proportional to 9,817.29, 14,732.17 and 3,576.69 is: 5,367.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,817.29 : 14,732.17 = 3,576.69 : x
  2. Step 2: Convert to fraction form
    9,817.29/14,732.17 = 3,576.69/x
  3. Step 3: Cross multiply
    9,817.29x = 14,732.17 × 3,576.69
  4. Step 4: Simplify right side
    9,817.29x = 52,692,396.18
  5. Step 5: Solve for x
    x = 52,692,396.18/9,817.29
  6. Step 6: Final answer
    x = 5,367.31

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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.