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Finding the Fourth Proportional to 9,769.72, 14,638.02 and 6,982.24

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Solution

The fourth proportional to 9,769.72, 14,638.02 and 6,982.24 is: 10,461.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,769.72 : 14,638.02 = 6,982.24 : x
  2. Step 2: Convert to fraction form
    9,769.72/14,638.02 = 6,982.24/x
  3. Step 3: Cross multiply
    9,769.72x = 14,638.02 × 6,982.24
  4. Step 4: Simplify right side
    9,769.72x = 102,206,168.76
  5. Step 5: Solve for x
    x = 102,206,168.76/9,769.72
  6. Step 6: Final answer
    x = 10,461.52

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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.