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Finding the Fourth Proportional to 9,362.14, 12,919.17 and 5,170.48

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Solution

The fourth proportional to 9,362.14, 12,919.17 and 5,170.48 is: 7,134.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,362.14 : 12,919.17 = 5,170.48 : x
  2. Step 2: Convert to fraction form
    9,362.14/12,919.17 = 5,170.48/x
  3. Step 3: Cross multiply
    9,362.14x = 12,919.17 × 5,170.48
  4. Step 4: Simplify right side
    9,362.14x = 66,798,310.10
  5. Step 5: Solve for x
    x = 66,798,310.10/9,362.14
  6. Step 6: Final answer
    x = 7,134.94

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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.