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Finding the Fourth Proportional to 7,006.56, 9,668 and 4,022.52

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Solution

The fourth proportional to 7,006.56, 9,668 and 4,022.52 is: 5,550.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,006.56 : 9,668 = 4,022.52 : x
  2. Step 2: Convert to fraction form
    7,006.56/9,668 = 4,022.52/x
  3. Step 3: Cross multiply
    7,006.56x = 9,668 × 4,022.52
  4. Step 4: Simplify right side
    7,006.56x = 38,889,723.36
  5. Step 5: Solve for x
    x = 38,889,723.36/7,006.56
  6. Step 6: Final answer
    x = 5,550.47

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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.