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Finding the Fourth Proportional to 6,703.14, 9,241.82 and 5,568.60

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Solution

The fourth proportional to 6,703.14, 9,241.82 and 5,568.60 is: 7,677.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,703.14 : 9,241.82 = 5,568.60 : x
  2. Step 2: Convert to fraction form
    6,703.14/9,241.82 = 5,568.60/x
  3. Step 3: Cross multiply
    6,703.14x = 9,241.82 × 5,568.60
  4. Step 4: Simplify right side
    6,703.14x = 51,463,998.85
  5. Step 5: Solve for x
    x = 51,463,998.85/6,703.14
  6. Step 6: Final answer
    x = 7,677.60

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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.