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Finding the Fourth Proportional to 9,325, 12,868.24 and 5,133.28

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Solution

The fourth proportional to 9,325, 12,868.24 and 5,133.28 is: 7,083.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,325 : 12,868.24 = 5,133.28 : x
  2. Step 2: Convert to fraction form
    9,325/12,868.24 = 5,133.28/x
  3. Step 3: Cross multiply
    9,325x = 12,868.24 × 5,133.28
  4. Step 4: Simplify right side
    9,325x = 66,056,279.03
  5. Step 5: Solve for x
    x = 66,056,279.03/9,325
  6. Step 6: Final answer
    x = 7,083.78

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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.