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Finding the Fourth Proportional to 9,304.98, 12,839.06 and 5,945.21

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Solution

The fourth proportional to 9,304.98, 12,839.06 and 5,945.21 is: 8,203.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,304.98 : 12,839.06 = 5,945.21 : x
  2. Step 2: Convert to fraction form
    9,304.98/12,839.06 = 5,945.21/x
  3. Step 3: Cross multiply
    9,304.98x = 12,839.06 × 5,945.21
  4. Step 4: Simplify right side
    9,304.98x = 76,330,907.90
  5. Step 5: Solve for x
    x = 76,330,907.90/9,304.98
  6. Step 6: Final answer
    x = 8,203.23

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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.