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Finding the Fourth Proportional to 6,375.42, 9,560.70 and 2,677.50

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Solution

The fourth proportional to 6,375.42, 9,560.70 and 2,677.50 is: 4,015.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,375.42 : 9,560.70 = 2,677.50 : x
  2. Step 2: Convert to fraction form
    6,375.42/9,560.70 = 2,677.50/x
  3. Step 3: Cross multiply
    6,375.42x = 9,560.70 × 2,677.50
  4. Step 4: Simplify right side
    6,375.42x = 25,598,774.25
  5. Step 5: Solve for x
    x = 25,598,774.25/6,375.42
  6. Step 6: Final answer
    x = 4,015.23

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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.