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Finding the Fourth Proportional to 9,241.40, 12,753.08 and 5,049.64

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Solution

The fourth proportional to 9,241.40, 12,753.08 and 5,049.64 is: 6,968.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,241.40 : 12,753.08 = 5,049.64 : x
  2. Step 2: Convert to fraction form
    9,241.40/12,753.08 = 5,049.64/x
  3. Step 3: Cross multiply
    9,241.40x = 12,753.08 × 5,049.64
  4. Step 4: Simplify right side
    9,241.40x = 64,398,462.89
  5. Step 5: Solve for x
    x = 64,398,462.89/9,241.40
  6. Step 6: Final answer
    x = 6,968.47

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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.