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Finding the Fourth Proportional to 6,991.01, 9,648.91 and 4,474.19

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Solution

The fourth proportional to 6,991.01, 9,648.91 and 4,474.19 is: 6,175.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,991.01 : 9,648.91 = 4,474.19 : x
  2. Step 2: Convert to fraction form
    6,991.01/9,648.91 = 4,474.19/x
  3. Step 3: Cross multiply
    6,991.01x = 9,648.91 × 4,474.19
  4. Step 4: Simplify right side
    6,991.01x = 43,171,019.57
  5. Step 5: Solve for x
    x = 43,171,019.57/6,991.01
  6. Step 6: Final answer
    x = 6,175.22

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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.