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Finding the Fourth Proportional to 6,909.16, 10,361.82 and 2,292.20

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Solution

The fourth proportional to 6,909.16, 10,361.82 and 2,292.20 is: 3,437.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,909.16 : 10,361.82 = 2,292.20 : x
  2. Step 2: Convert to fraction form
    6,909.16/10,361.82 = 2,292.20/x
  3. Step 3: Cross multiply
    6,909.16x = 10,361.82 × 2,292.20
  4. Step 4: Simplify right side
    6,909.16x = 23,751,363.80
  5. Step 5: Solve for x
    x = 23,751,363.80/6,909.16
  6. Step 6: Final answer
    x = 3,437.66

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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.