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Finding the Fourth Proportional to 7,006.70, 9,668.23 and 4,022.66

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Solution

The fourth proportional to 7,006.70, 9,668.23 and 4,022.66 is: 5,550.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,006.70 : 9,668.23 = 4,022.66 : x
  2. Step 2: Convert to fraction form
    7,006.70/9,668.23 = 4,022.66/x
  3. Step 3: Cross multiply
    7,006.70x = 9,668.23 × 4,022.66
  4. Step 4: Simplify right side
    7,006.70x = 38,892,016.21
  5. Step 5: Solve for x
    x = 38,892,016.21/7,006.70
  6. Step 6: Final answer
    x = 5,550.69

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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.