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Finding the Fourth Proportional to 9,081.30, 12,524.28 and 8,206.50

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Solution

The fourth proportional to 9,081.30, 12,524.28 and 8,206.50 is: 11,317.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,081.30 : 12,524.28 = 8,206.50 : x
  2. Step 2: Convert to fraction form
    9,081.30/12,524.28 = 8,206.50/x
  3. Step 3: Cross multiply
    9,081.30x = 12,524.28 × 8,206.50
  4. Step 4: Simplify right side
    9,081.30x = 102,780,503.82
  5. Step 5: Solve for x
    x = 102,780,503.82/9,081.30
  6. Step 6: Final answer
    x = 11,317.82

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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.