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Finding the Fourth Proportional to 6,820.45, 9,414.36 and 4,962.85

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Solution

The fourth proportional to 6,820.45, 9,414.36 and 4,962.85 is: 6,850.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,820.45 : 9,414.36 = 4,962.85 : x
  2. Step 2: Convert to fraction form
    6,820.45/9,414.36 = 4,962.85/x
  3. Step 3: Cross multiply
    6,820.45x = 9,414.36 × 4,962.85
  4. Step 4: Simplify right side
    6,820.45x = 46,722,056.53
  5. Step 5: Solve for x
    x = 46,722,056.53/6,820.45
  6. Step 6: Final answer
    x = 6,850.29

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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.