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Finding the Fourth Proportional to 9,264.72, 12,805.31 and 8,194.91

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Solution

The fourth proportional to 9,264.72, 12,805.31 and 8,194.91 is: 11,326.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,264.72 : 12,805.31 = 8,194.91 : x
  2. Step 2: Convert to fraction form
    9,264.72/12,805.31 = 8,194.91/x
  3. Step 3: Cross multiply
    9,264.72x = 12,805.31 × 8,194.91
  4. Step 4: Simplify right side
    9,264.72x = 104,938,415.47
  5. Step 5: Solve for x
    x = 104,938,415.47/9,264.72
  6. Step 6: Final answer
    x = 11,326.67

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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.