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Finding the Fourth Proportional to 9,284.22, 12,803.67 and 8,613.54

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Solution

The fourth proportional to 9,284.22, 12,803.67 and 8,613.54 is: 11,878.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,284.22 : 12,803.67 = 8,613.54 : x
  2. Step 2: Convert to fraction form
    9,284.22/12,803.67 = 8,613.54/x
  3. Step 3: Cross multiply
    9,284.22x = 12,803.67 × 8,613.54
  4. Step 4: Simplify right side
    9,284.22x = 110,284,923.69
  5. Step 5: Solve for x
    x = 110,284,923.69/9,284.22
  6. Step 6: Final answer
    x = 11,878.75

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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.