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Finding the Fourth Proportional to 9,182.20, 12,672.12 and 5,646.64

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Solution

The fourth proportional to 9,182.20, 12,672.12 and 5,646.64 is: 7,792.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,182.20 : 12,672.12 = 5,646.64 : x
  2. Step 2: Convert to fraction form
    9,182.20/12,672.12 = 5,646.64/x
  3. Step 3: Cross multiply
    9,182.20x = 12,672.12 × 5,646.64
  4. Step 4: Simplify right side
    9,182.20x = 71,554,899.68
  5. Step 5: Solve for x
    x = 71,554,899.68/9,182.20
  6. Step 6: Final answer
    x = 7,792.78

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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.