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Finding the Fourth Proportional to 6,997.20, 9,653.09 and 4,012.35

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Solution

The fourth proportional to 6,997.20, 9,653.09 and 4,012.35 is: 5,535.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,997.20 : 9,653.09 = 4,012.35 : x
  2. Step 2: Convert to fraction form
    6,997.20/9,653.09 = 4,012.35/x
  3. Step 3: Cross multiply
    6,997.20x = 9,653.09 × 4,012.35
  4. Step 4: Simplify right side
    6,997.20x = 38,731,555.60
  5. Step 5: Solve for x
    x = 38,731,555.60/6,997.20
  6. Step 6: Final answer
    x = 5,535.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.