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Finding the Fourth Proportional to 9,241.53, 12,753.35 and 5,049.78

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Solution

The fourth proportional to 9,241.53, 12,753.35 and 5,049.78 is: 6,968.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,241.53 : 12,753.35 = 5,049.78 : x
  2. Step 2: Convert to fraction form
    9,241.53/12,753.35 = 5,049.78/x
  3. Step 3: Cross multiply
    9,241.53x = 12,753.35 × 5,049.78
  4. Step 4: Simplify right side
    9,241.53x = 64,401,611.76
  5. Step 5: Solve for x
    x = 64,401,611.76/9,241.53
  6. Step 6: Final answer
    x = 6,968.72

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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.