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Finding the Fourth Proportional to 6,706.80, 9,249.30 and 4,189.12

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Solution

The fourth proportional to 6,706.80, 9,249.30 and 4,189.12 is: 5,777.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,706.80 : 9,249.30 = 4,189.12 : x
  2. Step 2: Convert to fraction form
    6,706.80/9,249.30 = 4,189.12/x
  3. Step 3: Cross multiply
    6,706.80x = 9,249.30 × 4,189.12
  4. Step 4: Simplify right side
    6,706.80x = 38,746,427.62
  5. Step 5: Solve for x
    x = 38,746,427.62/6,706.80
  6. Step 6: Final answer
    x = 5,777.19

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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.