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Finding the Fourth Proportional to 6,996.30, 10,494.45 and 6,266.70

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Solution

The fourth proportional to 6,996.30, 10,494.45 and 6,266.70 is: 9,400.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,996.30 : 10,494.45 = 6,266.70 : x
  2. Step 2: Convert to fraction form
    6,996.30/10,494.45 = 6,266.70/x
  3. Step 3: Cross multiply
    6,996.30x = 10,494.45 × 6,266.70
  4. Step 4: Simplify right side
    6,996.30x = 65,765,569.82
  5. Step 5: Solve for x
    x = 65,765,569.82/6,996.30
  6. Step 6: Final answer
    x = 9,400.05

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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.