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Finding the Fourth Proportional to 9,651.72, 14,461.38 and 6,722.76

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Solution

The fourth proportional to 9,651.72, 14,461.38 and 6,722.76 is: 10,072.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,651.72 : 14,461.38 = 6,722.76 : x
  2. Step 2: Convert to fraction form
    9,651.72/14,461.38 = 6,722.76/x
  3. Step 3: Cross multiply
    9,651.72x = 14,461.38 × 6,722.76
  4. Step 4: Simplify right side
    9,651.72x = 97,220,387.01
  5. Step 5: Solve for x
    x = 97,220,387.01/9,651.72
  6. Step 6: Final answer
    x = 10,072.86

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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.