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Finding the Fourth Proportional to 9,997.68, 14,996.57 and 4,154.30

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Solution

The fourth proportional to 9,997.68, 14,996.57 and 4,154.30 is: 6,231.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,997.68 : 14,996.57 = 4,154.30 : x
  2. Step 2: Convert to fraction form
    9,997.68/14,996.57 = 4,154.30/x
  3. Step 3: Cross multiply
    9,997.68x = 14,996.57 × 4,154.30
  4. Step 4: Simplify right side
    9,997.68x = 62,300,155.00
  5. Step 5: Solve for x
    x = 62,300,155.00/9,997.68
  6. Step 6: Final answer
    x = 6,231.46

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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.