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Finding the Fourth Proportional to 9,241.46, 12,752.18 and 5,208.47

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Solution

The fourth proportional to 9,241.46, 12,752.18 and 5,208.47 is: 7,187.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,241.46 : 12,752.18 = 5,208.47 : x
  2. Step 2: Convert to fraction form
    9,241.46/12,752.18 = 5,208.47/x
  3. Step 3: Cross multiply
    9,241.46x = 12,752.18 × 5,208.47
  4. Step 4: Simplify right side
    9,241.46x = 66,419,257.16
  5. Step 5: Solve for x
    x = 66,419,257.16/9,241.46
  6. Step 6: Final answer
    x = 7,187.10

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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.