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Finding the Fourth Proportional to 9,997.80, 14,996.70 and 2,602.20

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Solution

The fourth proportional to 9,997.80, 14,996.70 and 2,602.20 is: 3,903.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,997.80 : 14,996.70 = 2,602.20 : x
  2. Step 2: Convert to fraction form
    9,997.80/14,996.70 = 2,602.20/x
  3. Step 3: Cross multiply
    9,997.80x = 14,996.70 × 2,602.20
  4. Step 4: Simplify right side
    9,997.80x = 39,024,412.74
  5. Step 5: Solve for x
    x = 39,024,412.74/9,997.80
  6. Step 6: Final answer
    x = 3,903.30

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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.