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Finding the Fourth Proportional to 9,022.92, 12,453.15 and 5,668.62

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Solution

The fourth proportional to 9,022.92, 12,453.15 and 5,668.62 is: 7,823.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,022.92 : 12,453.15 = 5,668.62 : x
  2. Step 2: Convert to fraction form
    9,022.92/12,453.15 = 5,668.62/x
  3. Step 3: Cross multiply
    9,022.92x = 12,453.15 × 5,668.62
  4. Step 4: Simplify right side
    9,022.92x = 70,592,175.15
  5. Step 5: Solve for x
    x = 70,592,175.15/9,022.92
  6. Step 6: Final answer
    x = 7,823.65

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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.