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Finding the Fourth Proportional to 9,395.44, 12,966 and 5,204.08

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Solution

The fourth proportional to 9,395.44, 12,966 and 5,204.08 is: 7,181.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,395.44 : 12,966 = 5,204.08 : x
  2. Step 2: Convert to fraction form
    9,395.44/12,966 = 5,204.08/x
  3. Step 3: Cross multiply
    9,395.44x = 12,966 × 5,204.08
  4. Step 4: Simplify right side
    9,395.44x = 67,476,101.28
  5. Step 5: Solve for x
    x = 67,476,101.28/9,395.44
  6. Step 6: Final answer
    x = 7,181.79

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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.