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Finding the Fourth Proportional to 7,006.22, 9,668.24 and 4,023.12

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Solution

The fourth proportional to 7,006.22, 9,668.24 and 4,023.12 is: 5,551.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,006.22 : 9,668.24 = 4,023.12 : x
  2. Step 2: Convert to fraction form
    7,006.22/9,668.24 = 4,023.12/x
  3. Step 3: Cross multiply
    7,006.22x = 9,668.24 × 4,023.12
  4. Step 4: Simplify right side
    7,006.22x = 38,896,489.71
  5. Step 5: Solve for x
    x = 38,896,489.71/7,006.22
  6. Step 6: Final answer
    x = 5,551.71

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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.