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Finding the Fourth Proportional to 6,800.12, 9,375.46 and 4,405.98

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Solution

The fourth proportional to 6,800.12, 9,375.46 and 4,405.98 is: 6,074.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,800.12 : 9,375.46 = 4,405.98 : x
  2. Step 2: Convert to fraction form
    6,800.12/9,375.46 = 4,405.98/x
  3. Step 3: Cross multiply
    6,800.12x = 9,375.46 × 4,405.98
  4. Step 4: Simplify right side
    6,800.12x = 41,308,089.25
  5. Step 5: Solve for x
    x = 41,308,089.25/6,800.12
  6. Step 6: Final answer
    x = 6,074.61

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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.