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Finding the Fourth Proportional to 9,282.35, 12,794.71 and 7,262.36

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Solution

The fourth proportional to 9,282.35, 12,794.71 and 7,262.36 is: 10,010.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,282.35 : 12,794.71 = 7,262.36 : x
  2. Step 2: Convert to fraction form
    9,282.35/12,794.71 = 7,262.36/x
  3. Step 3: Cross multiply
    9,282.35x = 12,794.71 × 7,262.36
  4. Step 4: Simplify right side
    9,282.35x = 92,919,769.58
  5. Step 5: Solve for x
    x = 92,919,769.58/9,282.35
  6. Step 6: Final answer
    x = 10,010.37

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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.