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Finding the Fourth Proportional to 6,241.64, 9,354.60 and 5,459.78

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Solution

The fourth proportional to 6,241.64, 9,354.60 and 5,459.78 is: 8,182.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,241.64 : 9,354.60 = 5,459.78 : x
  2. Step 2: Convert to fraction form
    6,241.64/9,354.60 = 5,459.78/x
  3. Step 3: Cross multiply
    6,241.64x = 9,354.60 × 5,459.78
  4. Step 4: Simplify right side
    6,241.64x = 51,074,057.99
  5. Step 5: Solve for x
    x = 51,074,057.99/6,241.64
  6. Step 6: Final answer
    x = 8,182.79

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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.