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Finding the Fourth Proportional to 9,768.98, 13,481.17 and 5,292.84

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Solution

The fourth proportional to 9,768.98, 13,481.17 and 5,292.84 is: 7,304.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,768.98 : 13,481.17 = 5,292.84 : x
  2. Step 2: Convert to fraction form
    9,768.98/13,481.17 = 5,292.84/x
  3. Step 3: Cross multiply
    9,768.98x = 13,481.17 × 5,292.84
  4. Step 4: Simplify right side
    9,768.98x = 71,353,662.59
  5. Step 5: Solve for x
    x = 71,353,662.59/9,768.98
  6. Step 6: Final answer
    x = 7,304.11

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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.