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Finding the Fourth Proportional to 9,287.68, 12,809.52 and 8,166.24

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Solution

The fourth proportional to 9,287.68, 12,809.52 and 8,166.24 is: 11,262.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,287.68 : 12,809.52 = 8,166.24 : x
  2. Step 2: Convert to fraction form
    9,287.68/12,809.52 = 8,166.24/x
  3. Step 3: Cross multiply
    9,287.68x = 12,809.52 × 8,166.24
  4. Step 4: Simplify right side
    9,287.68x = 104,605,614.60
  5. Step 5: Solve for x
    x = 104,605,614.60/9,287.68
  6. Step 6: Final answer
    x = 11,262.84

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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.