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Finding the Fourth Proportional to 5,996.71, 8,995.14 and 1,614.17

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Solution

The fourth proportional to 5,996.71, 8,995.14 and 1,614.17 is: 2,421.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,996.71 : 8,995.14 = 1,614.17 : x
  2. Step 2: Convert to fraction form
    5,996.71/8,995.14 = 1,614.17/x
  3. Step 3: Cross multiply
    5,996.71x = 8,995.14 × 1,614.17
  4. Step 4: Simplify right side
    5,996.71x = 14,519,642.10
  5. Step 5: Solve for x
    x = 14,519,642.10/5,996.71
  6. Step 6: Final answer
    x = 2,421.27

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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.