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Finding the Fourth Proportional to 9,394.06, 12,963.81 and 5,202.31

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Solution

The fourth proportional to 9,394.06, 12,963.81 and 5,202.31 is: 7,179.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,394.06 : 12,963.81 = 5,202.31 : x
  2. Step 2: Convert to fraction form
    9,394.06/12,963.81 = 5,202.31/x
  3. Step 3: Cross multiply
    9,394.06x = 12,963.81 × 5,202.31
  4. Step 4: Simplify right side
    9,394.06x = 67,441,758.40
  5. Step 5: Solve for x
    x = 67,441,758.40/9,394.06
  6. Step 6: Final answer
    x = 7,179.19

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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.