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Finding the Fourth Proportional to 6,694.12, 9,241.06 and 4,459.72

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Solution

The fourth proportional to 6,694.12, 9,241.06 and 4,459.72 is: 6,156.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,694.12 : 9,241.06 = 4,459.72 : x
  2. Step 2: Convert to fraction form
    6,694.12/9,241.06 = 4,459.72/x
  3. Step 3: Cross multiply
    6,694.12x = 9,241.06 × 4,459.72
  4. Step 4: Simplify right side
    6,694.12x = 41,212,540.10
  5. Step 5: Solve for x
    x = 41,212,540.10/6,694.12
  6. Step 6: Final answer
    x = 6,156.53

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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.