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Finding the Fourth Proportional to 9,682.32, 14,526 and 2,757.36

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Solution

The fourth proportional to 9,682.32, 14,526 and 2,757.36 is: 4,136.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,682.32 : 14,526 = 2,757.36 : x
  2. Step 2: Convert to fraction form
    9,682.32/14,526 = 2,757.36/x
  3. Step 3: Cross multiply
    9,682.32x = 14,526 × 2,757.36
  4. Step 4: Simplify right side
    9,682.32x = 40,053,411.36
  5. Step 5: Solve for x
    x = 40,053,411.36/9,682.32
  6. Step 6: Final answer
    x = 4,136.76

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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.