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Finding the Fourth Proportional to 9,270.59, 12,767.74 and 8,011.23

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Solution

The fourth proportional to 9,270.59, 12,767.74 and 8,011.23 is: 11,033.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,270.59 : 12,767.74 = 8,011.23 : x
  2. Step 2: Convert to fraction form
    9,270.59/12,767.74 = 8,011.23/x
  3. Step 3: Cross multiply
    9,270.59x = 12,767.74 × 8,011.23
  4. Step 4: Simplify right side
    9,270.59x = 102,285,301.72
  5. Step 5: Solve for x
    x = 102,285,301.72/9,270.59
  6. Step 6: Final answer
    x = 11,033.31

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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.