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Finding the Fourth Proportional to 7,006.24, 9,668.25 and 3,980.96

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Solution

The fourth proportional to 7,006.24, 9,668.25 and 3,980.96 is: 5,493.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,006.24 : 9,668.25 = 3,980.96 : x
  2. Step 2: Convert to fraction form
    7,006.24/9,668.25 = 3,980.96/x
  3. Step 3: Cross multiply
    7,006.24x = 9,668.25 × 3,980.96
  4. Step 4: Simplify right side
    7,006.24x = 38,488,904.43
  5. Step 5: Solve for x
    x = 38,488,904.43/7,006.24
  6. Step 6: Final answer
    x = 5,493.52

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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.